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Page 1: C:Documents and SettingsQasmiDesktopQanoon-i ......2019/01/25  · [ÂsW yZÄ û)lü ‰wDZ«Š

ZZZZssssxxxx»»»»

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ññññÑÑÑÑ********ØØØØ••••����ZZZZ‡‡‡‡ŠŠŠŠ""""

û1 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

TTTT~~~~uuuuZZZZYYYYÅÅÅÅFFFF,,,,KKKKMMMMzzzzttttdddd$$$$ÃÃÃÃÅÅÅÅppppggggÄÄÄÄ™™™™DDDD÷÷÷÷ZZZZ____ÃÃÃÃ

ÅÅÅÅæææ把ŠŠÐÐÐÐ....eeee$$$$(((( ))))qqqq¢¢¢¢ÅÅÅÅ]]]]....hhhh++++ggggcccc****èèèèZZZZ0000++++ZZZZiiii~~~~iiiiHHHHŠŠŠŠHHHHììììXXXX

DDDD ]]]]ÖÖÖÖffffnnnn`³³³³ÏÏÏÏoooo iiiiøø øø³³³³ÃÃÃÃøø øø³³³³××××$$$$³³³³ÛÛÛÛöööö³³³³ççççûû ûû]]]]]]]]ÖÖÖÖûû ûû³³³³ËËËËøø øø³³³³††††øø øø����ññññôô ôô³³³³˜øø øøÊÊÊÊøø øø³³³³^----ÞÞÞÞ$$$$ããããøø øø³³³³^ÚÚÚÚôô ôôààààûûûû����ôô ôômmmmûû ûûßßßßôô ôôÓÓÓÓööööÜÜÜÜûû ûûEEEE

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]£te**Ñôp÷

Zsx»‡âÈzgZV$ **xÂ[:

ñÑ**Ø•�Z‡Š" @*;:

f.yZ ìi8-:

)Zsîìi8-WnßZ!(0332-9431106

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Y2010 #Ô1341|B†g~Ô TZzw:

(0332-9431106) {�Û‡yÔßZ! ZŠZg **Ñ:

[email protected]

û2 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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üZO[û

v4:z¬\zgÎ!~V

û3 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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û4 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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WsÂ[

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ül)ûŠ«ZDw‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰D÷Z_Åɉ‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰Â[˜å WEZÅzz@*;‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰Š*gc*èÂYV?‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ik,ÃÂ[ÅS¤‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰

Ç].]ZzgD÷Z_‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰¦/Zgl‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰

ü!*[ZÍwû)F,ā÷B£tZzgPZßwzZ˜q](

‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ ‰‰‰‰‰‰ ZßwzZ˜q] `ZÍw:

PZßwzZ°‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰F,ā‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ `Šzx:

4z\‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰

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û5 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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ÄZy™�ZŠZ5ŒÛn‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰"3©5å GEEGEz¤‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰

„F,ā‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ñZúZÑg_ `Šzx:Ýò‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰Z%sŠ+‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰Z%sŠZg+‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰

O‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰

ü!*[ŠzxûèÆzgU*YZzgZyÆ{

Zô[ZÁZø `ZÍw:!*\‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰$š{3ïG

GE»È‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰$š{3ïG

GE¡‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ŠZŠZ)].9(‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ZzÑŠZÑx)âVÑq-Ǹð(‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰

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û6 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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ÄZy™�ØCÙ‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ / iz`

izz‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰e‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰7»V‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰

Ç䉉‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰´C䉉‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰Zì°ä‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰âV‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰7åEM{)ŠZŠ~B**ã(‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰

“{5éE] `Šzx:‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ 9"3©pî EEE‰ , 9u

9"3©pî EEE»¬‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰9%{‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰9ì){‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰9!*Åā.çEGzìZÅā.çEG~�Ût‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰9]4-öEE‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰

fz~ZÁnu6,gŠ‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰

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û7 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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ÄZy™�

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ü!*[ÎxûX¯ä»§i

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ÄZy™�

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zgU*YÅZßg' o~ `Šzx:zgU*YZ#Üs“{5éE]ƒV‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ )1(

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)2(“{5éE]Zzgfz~ZÁznŠzâVƒV‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰âqzZuÅVB‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ZâZqÁÅVB‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰

)3(zgU*YÜsfz~ZÁznƒV‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰úw Îx:øgZ§i‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰

X~úwìc*7?‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰gŠZzgXgŠÅTy `Xgx:

zgU*Y~ZuZ²zå:ƒÔ½zZu‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰Z»k¼Š‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰

Šzu~nÔX~ZuZ²z僉‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰

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ÄZy™�

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‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ zgZV$»„»gfz~ZÑgqxÅZlx‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ `Šzx:)1(�ÛzqZY‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰)2(ZßwZY‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰

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Z½¦ZñZ]»¬‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ Q:‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ e:

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û67 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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’k,™,X¯{Æfg)N»™ÆZ(g-V~zZg_»zòMñÇÔ ))))2222((((

Ðic*Š{ 5 Z(gt)‰(ÐMÐÁZiÁegyÐrìXZzgZ¤/aåy�yÎV6,ZrYHYYìX 3 ìÂêyÐÃ(,J™

}}}}::::Únjþ³þ³

ø e izz

’c* 1&&&&2 1&&&&8

(0.375) (0.5) (0.125)

ÔZÏ»**xLLù·‰óógOX fz~ZÁznÆÀ‰¦™1Yñ ))))3333((((

0.625 = 0.5 + 0.125 }ßg]èÃg{~:óóÐÁìÔ6āßg]!*Ñ~ìÔÂtŠzn6,ì: 1 Š¶Z¤/ù·LL ))))4444((((

Ðt™Æ’c*9Ê} 1 (‰‰‰‰‰‰Z¤/9Ìñ�ŠìÔÂù·‰Ã i)

Šc*YñX6āßg]èÃg~ø)R(Åñ�ŠÏ~’c*ZÏÊc*ŠHìXZzgZ¤/zgU*~9Ãð7Ô™ßāLLXgŠtóóìXÔZk»Òy ‰‰‰‰ (‰‰‰‰‰ ii)

WÐWg;ìXóóÐiZZ+ì™ßāXLL¬óóìÔ6āqgzfs 1 Z¤/ù·LL ))))5555((((

ßg]~Wc*ìX

û68 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

ÅZ

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Únjþ³þ³iz`ŠzÇÇZx

1/6 2/3 1B2

0.167 0.667 0.5

1.334 = 0.167+0.667+0.5 : ù·‰Ðic*Š{ìÔOçZkZ»mLLúwóóÆ‚BìÔZk 1 aètù·

»ÒyÌZŒ,]~Wg;ìXóóÆ',Z',ìÔÂX9ìXOçZ[F,ā 1 ZzgZ¤/ù·‰7g}LL ))))6666((((

„™Šc*YñX6āfsÅßg]~Wc*ì:Únjþ³þ³þ³þ³

áCyZ[Zx

1/6 1/6 2/3

0.1667 0.1667 0.6666

1 = 0.1667+0.1667+0.6666 ù·‰:

„F,ā»§itìāCÙzZg_Æ{ÃÀF,ā~¢[Š,Р))))7777((((

)F,ā~(zZg_»£/zòMñÇZk»Ãgñ!qgzfsì:zZg_»zX~ <<<< ÀF,ā = FFFF,,,,āāāā~~~~zzzzZZZZgggg____»»»»zzzz

û69 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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Tßg]~âVÆnLLZuZ²zåÆuóóHgƒZkÅqgz ââââ^::::fsŠzßg'k�÷X®ZW‚ãÆ{§ZyÃZϧbc*Š™B:)1(

izzâV!*\

0.50 0.25 0.25

iz`âV!*\

0.3333 0.1667 0.5

(ïŠHX 0.25 å®ZâVÃZk»ŠZ) 0.75 «ßg]~izzƈ’c*z(ïŠHX 0.1667 å®ZâVÃZk»ŠZ) 0.5 Šzu~ßg]~iz`ƈ’c*

Üāû üZßw»èÃg{!*ÑZßw»ÜātìÔ

D÷QX )1(

¯{Æfg)N»™,X )2(

LLù·‰óó¥x™,X )3(

óóÆ',Z',ìÔÂXLL9óóìX 1 LL )4(

óóÐic*Š{ìÂXLL¬óóì 1 ù·LL )5(

97ÔÂLLgŠtóóìX óóÐÁìÔZ¤/ 1 Z¤/ù·LL )6(

zg:9ƃDƒñ†ZyÊ,X ‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ ////

û70 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

Únk

Únk )2(

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)7(„F,ā»Ãgñ!qgzfsì:zZg_»zX~ <<<< ÀF,ā = FFFF,,,,āāāā~~~~zzzzZZZZgggg____»»»»zzzz

¸PZßwzçZ*÷Îf‚d™Dƒñ÷Z_»ÂÐÂF,+XZy÷áYZv¬\.e$W‚ãÐiHYYìX'×}Å!*]

tìāŒVZyZßwÆ´z{ËnÅÚXn+ÔÂZ¬ZzgD+Z4z){c*Š™äÅ!*Ç¢zg]7XZϧbo~gƒzkz){»ZÝZ~¢[

ŠbQ{m™LLoLóó~â°Z6ÆoU*ãZzgâ°Z6~ñˆl

™ÆZÝoZzw~¢[ŠbQµz[»CÙzZg_Æ”V~¢[Š¶Æˆ}Y™ZÝXLLDÙZgzVóó~òW**z){z){‰ÂF,+ßgÂVÐŒV�]q݃YCìX'×h+tāŒVi}ÆP%ßVÐá™™zhzVÔZg1VÔ71VÎâqÆF,ÆÃW\²zV~„™

0*NÐXQŠpÅ!*]tìāŒVXi™äÆW\dîg6,ÃðmÔ¶c*ËnÅ¡÷zZ·x7Ck™,ÐÔ6ā{Ø].h+ÛR,6,z¤/Z'×~0*c*Y@*ìÉZy÷áYZv¬\4+ÑbœgÆ‚BW\!*ÇuZYƧi6,ZÃ:Üstāi™DYNÐÉZkÆF,āÃÌë{Ðë{ßgÂV~.e$W‚ãÆ‚BCÙzZg_Êï−YNÐXZv™*…CÙZ~æîVZzg!VÐôp�Ûâñ‰M}!

û71 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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`Šzx:

o~zgU*YÅZßg'

t!*[�3ÅŠzu~ìT»mìLLoXóóc*LLXÅZzgU*YLÜs“{5éE]Åßg] ßgÂVóóÆ‚BXt!*]U`Òy7ā

~WYNÔLÜsfz~ZÁznWYNZzgt̃YìāŠzâVnÆzgU*Yñ�ŠƒVXZϧbLfz~ZÁznÌZq-âqÆÂLŠzâVÆZϧbLZµZµZzgL‘oÌWYD÷ÔOçzgU*YÅZk"ÑgßgÂVÊ™ÆëäZyÅÜs&ßg'¯ð÷X

: zgU*YZ#Üs“{5éE]ƒV )1(«ntāzgU*Y~zZ−+Ô(VÔizzz){¼Ì:ƒÉƒ�ƃ�“{5éE]g{‰ƒVXZ+ßg]qw~Üs“{5éE]„ZkÆzZg_ŒÛZg0*NÐXZ[Zy~'×h+Šz9k�÷:Zq-tāƒ�9ƒVZzgƒ�Æ{Ì',Z',ƒV}Zq-èÆÜsP¸ð„zZg_÷XŠzu~ßg]

tāZy~Zñ0*ðYC÷}ËèÆǸðŠzâVg{‰X

�z~ƒ�',Z',ƒV: ‰‰‰‰‰‰ ////èÀ®ZŠóóÐCÙzZg_»z „1 LL Z¤/]“{5éE]”V~',Z',÷ÔÂ

û72 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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WYñÇXc*Zk§bāF,āÃÀzgU*Y6,',Z',„™,X}:ZÅÜs0*õǸðgh™]ƒZXÀF,āZq-Égz9ìX ::::1 VVVVwwww����

óó»¿™ÆCÙð»zWYDX 5„1 ìX®ZLL 5 zgU*YÅÀ®ZŠ aè

Únjþ³

ZcZcZcZcZc

1&&&&5 1&&&&5 1&&&&5 1&&&&5 1&&&&5

0.2 0.2 0.2 0.2 0.2

ÀF,ā x X~z CCCCÙÙÙÙðððð»»»»zzzz:::: „F,ā:

gz9 20,000=100000x0.2 :

W\{Æfg$˜õ JZyâ[Š,и�Z[WYñÇX‰‰‰‰‰‰‰X~ÃðÚ0*ðYCƒ: ////ªƒ�zgU*Y»z',Z',7ÉZyÆŠgxyÚƒ�ƒÇOçZ+ßg]

ƒ�”VÃÁF,+lZgÆ[ЯŠ,Ô@*āƒ�Ã÷áïƒVX qw~zAÇÂŒV 1 ZzgÇà 2 „W@*ìÔª¸ðà 1:2 }“{5éE]~

ƈ[ЯñYNXQ¸ðÃÇЊkHŠñ 1 e’āÀ{YNÐXVw5±ƒ:

û73 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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ZÅ&ǸðZzg&Çägh™]ƒZ²F,āâ}DÙZg ::::2���� VVVVwwww

zŠ¶ÆZ±gÐÇ» 1 ZzgÇà 2 gz9ìXZkßg]~¸ðÃóó»¿™ÆCÙ 9„1 0X®ZLL 9 âZVzáCìÍc*āzgU*YÅÀ®ZŠ

zïYñÇX 2/9 Ç»zòWDXQ¸ðÊkHªÚnjþ³

Z|#Z|#Z|# Zc ZcZc

1/9 1/9 1/9 2/9 2/9 2/9

(0.1111 () 0.2222)

22.22 % c*0.2222 CÙð»z: 11.11 % c*0.1111 CÙÇ»z:

„„„„FFFF,,,,āāāā::::

<ÀF,ā:? 0.2222 CÙð»z:gz9 20000 = 90,000x0.2222

<ÀF,ā:? 0.1111 CÙÇ»z:gz9 10000 = 90000x0.1111

~¢[Š}™‚~zòWñÇ 100 Z¤/F,ā7¥x ‚‚‚‚~~~~zzzz::::6āZz6,HŠHìX

û74 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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)2(“{5éE]Zzgfz~ZÁznŠzâV:Z#zgU*Y~“{5éE]Zzgfz~ZÁznŠzâVWYNÂZyÆŠgxyË

Ú)1(c*Ëâq»ÒpG%ƒ�Ænqgzfs§iZ(g™,:)1(ƒ�ЬZô[ZÁzn»zZ(g-V~ïBX

óóÐt™,X 1 )2(Qù·‰¥x™ÆLLóóÐt™Æ’c*z9~„™,X 1 )3(LL

:::: )3(WЄF,ā»§itƒÇ:LLzZg_»qÝ”{z<ÀF,āóó zzzzZZZZgggg____»»»»zzzzFFFF,,,,āāāā~~~~

zWYñÇX ‚‚‚‚~~~~ ~¢[Š}™ 100 )4(Z¤/F,ā7¥xÔÂøg};VËâqz){ÅÃð0*È~7ƒ�Æn¸Šz& ââââ^::::

Zßà!*'c*Š™**»°÷1ŒVŒäÆnZµZµf™GYgì÷ââââqqqqzzzzZZZZuuuuÅÅÅÅVVVVBBBB:::: ////‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰

~ ª“{5éE]Æ‚Bfz~ZÁzn»ÜsZq-âqƒXc*ŠgìZ#fz

ZÁznÅ®ZŠZq-Ðic*Š{:ƒVÂ9»z¥x™äÆnLLù·

)1(6āuZYz){~ŸÅßg]~gƒzkz–xÆŠgxyÔc*QZ¤/ŸZq-Ðic*Š{¤/zƒV6,Wc*ƒÂQZygƒkÆŠgxyÔÒVʬY@*ìXñZkÅßg]~z¬°ŠgƒkZzgn+Åßg]~ÀgƒkÃZÝX~¢[Šb7,@*ìX

û75 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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Йr#�Ûn»zt™Æ 1 ‰óó¥x™äÅ¢zg]7ÔÉgU

’c*9òWñÇXVBZŒ™6,5±ƒ:�Zq-ØCÙZzgZq-gCgh™]ƒXZ¤/F,āÅlZgä VVVVwwww����))))1111((((

DÙZggz9ìÂCÙzZg_ÃHzAÇ?

Únjþ³þ³ØCÙgC

’c* 1&&&&4 ZÝ{ 1111CCCC (0.75) (0.25)

75% 25% 2222CCCC ‚~{

F,ā~zZ_»z:ZÝz<ÀF,ā „„„„FFFF,,,,āāāā::::

<ÀF,ā 0.25 = iz`»z Oç:gz9 5000 = 20000x0.25 =

gz9 15,000=20,000x0.75 dW»z=

0.75 = 1- 0.25 = 9dW»z 1111CCCC

~¢[Šc*ŠHìX 100 ‚~z¥x™äÆnCÙ{à 2222CCCC

û76 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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gz9 20000 ¯]ƒZ?Z¤/F,ā :ih+Zq-ç~Zq-gCgh™ ((((2 VVVVwwww����))))ìÂCÙzZg_»zHƒÇ?

Únjþ³gC ç~

(’c* 1/8 ZÝ{)

C 1111 0.875 0.125

87.5% 12.5% 2222CCCC ‚~{

((((3 VVVVwwww����))))ih+zZ−{ZzgZq-Ǹðgh™]ƒZXZ¤/F,ā‚JDÙZggz9ìÔÂCÙzZg_ÃHzAÇ?

Únjþ³þ³Ç¸ð âV

!*¹ 1&&&&3 ZÝ{ (0.666) (0.334)

66.6% 33.4% ‚~{

0.875 = 1- 0.125 = 9dW»z 1111CCCC

~¢[Šc*ŠHìX 100 ‚~z¥x™äÆnCÙ{à 2222CCCC

û77 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

ih+

ih+

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ZZZZââââZZZZqqqqÁÁÁÁÅÅÅÅVVVVBBBB:::: ////‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰6ā¬Ìëä²nHåāZk§i»g~âqzZuc*ZâZqÁ

z){»Ãð�Ût7tÜs‡gMÅŠpÆnZµZµf™GYgì÷XOç5±ƒ:

Zq-!*]»ìwg3YñāŒV9»z¥x™äÆnfz~ â^:™, óóÐt 1 ZÁznÆ{¦™ÆLLù·‰óó¥xHYñÔQZÐLL

9»z = 1- ù·‰((((1 VVVVwwww����))))

ZÅZq-ç~ÔZq-eZzgZq-ÇRgh™]ƒŠHXZ¤/ÀF,āÅlZgZq-ÑÄgz9ìÔÂCÙzZg_»z¥x™,?

Únjþ³þ³1111CCCC R e ç~9)’c*( 1&&&&2 1&&&&8 ZÝ{:

0.375 0.5 0.125

37.5% 50% 12.5% ‚~{:

û78 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

: 1- R9»z=ù·‰ 1111CCCC

0.375=1-0.625 = ®ZR»z 0.625 = 0.5+0.1250 = ù·‰

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„„„„FFFF,,,,āāāā:::: ÀF,ā x Z~zZg_»z = F,ā~zZg_»z

gz9 12500 =100000x0.1235= »z ç~ OçÔgz9 50000 = 100000 x 0.5 = e»zgz9 37500 =100000x0.375 = R»zgz9 100000=37500+50000+12500 7777,,,,@@@@****wwww::::

É!*àŠzÃÓVÔzZ−{Zq-Ô¸ðZzgZq-Rgh™]ƒZÔ ((((2 VVVVwwww����))))Z¤/ÀF,āÅlZgZq-ÑÄäDÙZggz9ìÔÂCÙzZg_»z¥x™,?

Únjþ³þ³R 1111CCCC ¸ð âV 2ÃÓV

øzx 9)’c*( 1&6 2&3 ZÝ{X (0.1667) (0.1667) (0.6666)

16.67% 16.67% 66.66% ‚~

1111CCCC

0.833 = 0.1667 + 0.6666 ù·‰: OçÔ 1- 9»z:ù·‰0.167 = 1 - 0.833 9¸ð»z:

û79 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

É!*à

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„„„„FFFF,,,,āāāā::::gz9 79920 = 120000x0.666 = @V»z 2

gz9 20040 = 120000x0.167 = âV»z

gz9 20040 = 120000x0.167= ¸ð»zggggzzzz9999 120000 = 39960+39960+20040+20040 : 7777,,,,@@@@****wwww

)T~7Cøzxì( ((((3 ����)))) VVVVwwww

U>ÌÔiz`ÔzZ−{ÔŠzÃÓVZzgZq-7Cgh™]ƒXZ¤/ÀF,āÅlZgZq-ÑÄgz9ƒÔÂCÙzZg_ÃHzAÇ?

Únjþ³þ³ØCÙŠzÃÓVâV7C

CCCC 1111 øzx 1/6 2/3 1/4 ZÝ{X 0.1666 0.6666 0.25

1.0834 = 0.1667+0.6667+0.25 ùùùù····‰‰‰‰::::

óóÐic*Š{ì®ZtX¬´ìÔOçm396,úw 1 aèŒVù·‰LLÆ!*[~5±�Ûâ™ZkVwÃpŠi™,X

û80 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

qíZŒÔ6,5±ƒ: 1111CCCC

Ì

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)T~Zq-eÅzzÐ7»V‡kág„÷( ((((4 ����)))) VVVVwwww

U>ÌÔiz`ÔzZ−{ÔZq-eZzgŠz7»Vgh™]ƒXZ¤/ÀF,āÅlZgZq-ÑÄgz9ƒÔÂCÙzZg_ÃHzAÇ?

Únjþ³þ³1111CCCC Šz7»V eâV ØCÙ

1/6 1/6 1/2 1/4 ZÝ{0.1667 0.1667 0.5 0.25

1.0834 = 0.1667+0.1667+0.5+0.25 ù·‰:

óóÐic*Š{ì®ZtX¬´ìÔOçm396, 1 aèŒVÌù·‰LLúwÆ!*[~5±�Ûâ™ZkVwÃpŠi™,X

û81 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

7CøzxƒäÅzztìāi**:ZzÑŠ»Àz&Ò5é IIyÐic*Š{7 ))))ÔÔÔÔÔÔÔÔ»»»»qqqqíííí((((ìZzgz{@VäZ!á1X;VZ+ßg]~Z¤/ZyÆ‚B¸ð)è»7@*(ñ�ŠìÂQ@Vƃƈ’c*F,ā~7C¸ðÆ‚Bï™90YNÐ

Æ[Ðzá™)7C(øzx ֳ׳„Ò†Ú%ØuÀ]ŸÞ%nnàD ªE1:2 Zzg’c*F,ā~ƒäÐ$$ËìXc*Z¤/èÅeZq-ìÂQ7C%¸ð)ªèÆ7D(Æ

~4 )@*āƒÅŠƒYñ(OçVw� i³Ó³Û×èÖ×%×%nà zá$Ë÷ 1/6Ì

WÐWg„ìX 5 Zq-eƒäÅzzÐ7Czág„ìX²7DzZàVw�

(ÅŠƒX 4/6 () 1/6+1/2 ŒVeZzg7ZVÆ{) 1111CCCC

Ì

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)ŒV7DÅzzÐ7Czág„ì( ((((5 ����)))) VVVVwwww

U>iZ@{ÔzZ−{ÔZq-ÇÔŠzÃÓVÔZq-7@*ZzgŠz7»Vgh™]ƒX

Z¤/ÀF,āÅlZgZq-ÑÄgz9ƒÔÂCÙzZg_ÃHzAÇ?

Únjþ³þ³Šz7»VÇ 1111CCCC âVŠzÃÓV7@*

øzx “{5éE] 2/3 1/6 ZÝ{X 0.1666 0.6667 0.1667

16.66% 66.67% 16.67% ‚z

ÐÁì®Z 1 aètù· 0.8334 =0.6667+0.1667 ù·‰: 1111CCCC

0.1666 =1-0.8334 ’c*âw9BÐXOç:“{5éE]»z:~ìXYè 3 ßg]èÃg{~Z¤/7@*:ƒ@*Â7»VøzxƒYC6āVw�

¯]»z)ƒ(z{á_÷ÔZzg7»V¯]Æi%}~ŠZ4÷®ZŠz@V

ƃDƒñZy»z»ƒY@*ìX;VZ#ZyÆ‚BZy»¸ðªè»7@*÷áH´])ªZ0ƒä(ÅãCŠ6,aè7@*pŠ9ì®ZZkÅzzÐ7»V

ÅÚÐfz~ZÁznƈ’c*F,ā 1:2 Ì90IXOçZ[7@*7»V

zAÇ 1 {²CÙ7Cà 2 ª7Dà (~zgZV$Æ,ZgŒÛZg0*ñX 16.66%)

Íc*āù¦îg6,ŠzâV7»Vï™Zq-7DÆ',Z',zBÏX~¢[Šh+}X 100 ´z{Zi,‚¥x™ä»§itìāZÝzÃ

û82 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

iZ@{

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„„„„FFFF,,,,āāāā::::ÀF,Æ~CÙzZg_»8~î O:ZÝz<ÀF,ā

Oç:gz9 16670 = 100000X0.1667 zZ−{»z:

gz9 66670 = 100000x0.6667 Šz@V»z:gz9 33335 = 100000X0.33335 «e»z:

gz9 33335 = 100000X0.33335 Šzu~e»z:16660 = 100000X0.1666 “{5éE]»8~î O:

6,„™ÆZq-7C»zòWñDz7DÃZk 4 “{5éE]Æ{ûŠkHïYñÇXOç:

gz9 4165 = 16660@4 «7C»z:gz9 4165 = 16660@4 Šzu~7C»z:gz9 8330 = 4165 <2 7D»z:

7777,,,,@@@@****wwww::::= 8330+4165+4165+33335+33335+16670

100,000

ÐÜ™ÆiÅYg„÷: 24 Zzg 23 WÐPVBLLuZYóó™�

û83 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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)uZYÅVwÔm:32( (6 Vw�)Únjþ³þ³

R3 ŠZŠc*V 3 ÃÓV 6

1111CCCC 9)’c*( 1/6 2/3 ZÝ8zõ O

0.1666 0.1667 0.6667

16.66% 16.67% 66.67% ‚~8zõ O

„F,ā:)Zq-ÑÄ(gz9F,āìÔÂCÙzZg_ 100,000 }èÃg{!*ÑVw~

ÃÄgz9�Ð?ÀF,ā X X~z = F,ā~£/z

Oç:gz9 66660 =100,000x0.6666 »z: @V 6 )1(

gz9 11110 = 66660@6 ‰‰‰‰Zq-e»z:

û84 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

ÐÁìÔ®Z’c* 1 aètù· 0.8334=0.1667+0.6667 ù·‰: 1111CCCC

0.1666 =1-0.8334 âw9BÐXOç:“{5éE]»z:~¢[Šc*ŠHìX'×h+Z¤/CÙ�ÛŠ 100 ´z{Zi,‚~z¥x™äÆnCÙ{Ã

»z¥x™**ƒÂ¤/z\ÆÀ8zõ OÃ)eìF,āƒc*‚~zƒ(ZkÅ®ZŠ6,„6,„™}ZÏÄF,ā~5±�ÛâáX 6 ™}Ô}@VÆ{Ã

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gz9 16670 = 100,000 x0.1667 ŠŠŠŠZZZZŠŠŠŠ----VVVV»»»»zzzz:::: 3 )2(

gz9 5556.66 = 16670@3 ‰‰‰‰Zq-ŠZŠ~»z:

gz9 16670 = 100,000 x 0.1667 RRRRƒƒƒƒVVVV»»»»zzzz:::: 3 )3(

gz9 5556.66 = 16670@3 ‰‰‰‰Zq-R»z:

1111CCCC 100,000 = 16670 + 16670 + 66660 7,@*w:

tuZYÅ„VwìW\ZÐuZYÆZ0+Zi~i™Dƒñ¬X6ЯN 1111CCCC

ÔQ@VÃ4ÔŠZŠ-VZzgRƒVÃZq-Zq-ÔÂCÙ)®)6,Ÿ Ÿqj³Û³^Å]ÖŠ‚Œæ]Ö%×%nà

zZµƒg„ìOç@VÆ8{ð OVZzggƒzkÆŠgxyÂZ¬!*Å5ÒïIIìÂŒV3ÔZzg

ƉZzggƒzkÆŠgxyn+ÂZyÆgƒzkÌ3Ô3®ZZÝ WЊZŠ-VZzgRƒV

X6ÔÃ3~¢[Š}™o81Ð0YñÏXQCÙ)®)Æ{ï%ÆnZk

Æ{õz[ª3~¢[ŠbÂA$Üs)oVƉòWNÐXQ'×h+

CÙzZg_»zZzgZk6,eZŠF,āÅ„�uZY~ÒyHŠHìÔZkЦ/g™F,ā~CÙzZg_»zïÜÄ%Zi÷?ZzgŒVW\ä5±HāãCŠ~îg6,tX„F,āÉPSzV6,Œì!*¹7,@*wÆfg$˜õ JËÌ¿Ã6,3YYìXŒVÌ

7,@*w™ÆZLZÆ!*g}~ZEyqÝHYYìXzZv¬\ZD

û85 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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)uZYÅVwm:32( (7 �) VwÚnjþ³þ³þ³

9AõFF12 ŠZŠc*V 3 izY] 4

1111CCCC 9)’c*( 1/6 1/4 ZÝ{

0.5833 0.1667 0.25

58.33% 16.67% 25% 8zõ O ‚~

„F,ā:)Zq-ÑÄ(gz9F,āìÔÂCÙzZg_ 100,000 }èÃg{!*ÑVw~

ÃÄgz9�ÐXÀF,ā X X~z = F,ā~£/z

Oçgz9 25,000 = 0.25x100,000 izY]»z: 4 )1(

gz9 6250 = 25,000 4 izz»8~î O: 1 ‰‰‰‰‰

û86 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

ÐÁìÔ®Z’c* 1 aètù· 0.4167= 0.1667+0.25 ù·‰: 1111CCCC

0.5833 =1-0.4167 âw9BÐXOç:“{5éE]»z:~¢[Šc*ŠHìX'×h+Z¤/CÙ�ÛŠ 100 ´z{Zi,‚~z¥x™äÆnCÙ{Ã

»z¥x™**ƒÂ¤/z\ÆÀ8zõ OÃ)eìF,āƒc*‚~zƒ(ZkÅ®ZŠ6,„6,„™}ZÏÄF,ā~5±�ÛâáX 6 ™}Ô}@VÆ{Ã

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gz9 16,670 = 0.1667x100,000 ].Z]»z: 3 )2(

gz9 5556.66 = 16670 @3 ].{»8~î O: 1 ‰‰‰‰

gz9 58330 = 0.5833x100,000 »z: RƒV 12 )3(

gz9 4860.83 = 58330 @12 R»8~î O: 1 ‰‰‰‰100,000 = 58330+16670+25000 7,@*w:

tÌuZYÅVwìÔT~g,)4B1(Zzg‡k)6B1(ZopWäÐZÝX21 1111CCCCжÇXZÝZÐç-VÃ3{ÔŠZŠ-VÃ2ZzgRƒVÃ’c*78zõ OXZ[aèCÙ)®)ƉZzgZyÆgƒzkÆŠgxyÚn+ì)n+»ÈtìāŠzZ°ZŠW:~ËŠ}°Š6,57ƒDÉåîg6,Zq-Šzu}Æ„ŠƒD÷}4Zzg6»Z#¹HY@*ìŠzâV26,„ƒDZzgZkÆ',@3Zzg7ÆŠgxyªCÙìāZq-Šzu}ЧŠìªŠzâVâÎZñZq-ZzgZL°ŠÆËŠ}°Š6,„7ƒDXZzgn+Åßg]~‡°{tƒ@*ìāÀgƒzkÃZÝX~¢[Šbƒ@*ìÔt!*]ÂA$ìZ#āŸZq-¤/z\~zZµƒZƒZzgZ¤/ŸŠzc*ic*Š{¤/z7V~

zZµƒ6āVwèÃg~ìÂZk»Qtƒ@*āZ['×h+ZyÆgƒzkÆŠgxyñ

ŠÚƒVÐZ#ŒVŠ¬ÂZygƒzkÆŠgxyD+Z4ì(Oçƒ�Ægƒzk

)4Ô3Ô21(ôpGXZ[D+Z4~‡°{ìā(,}°ŠÃ1Y@*ìX®ZÔ21ÄZÝZ~¢[Š}™o

))))!!!!****¹¹¹¹ZZZZŒŒŒŒÔÔÔÔ6666,,,,(((( 441Ð0ZkƈCÙ)®)ƉÃ21~¢[ŠnZk

û87 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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(163 )uZYm:32ÔZzguZY»§i5±ƒm: (8 Vw�)Únjþ³þ³þ³þ³

R6 ŠZŠc*V 15 ÃÓV 18 çc*V 4

1111CCCC 9 1/6 2/3 1/8 ZÝ{0.0416 0.1667 0.6667 0.125

4.16% 16.67% 66.67% 12.5% ‚~{

„F,ā:CÙ�Û&Æ{ÃÀF,ā~¢[Š}ÂZÏ�Û&»zòWñÇWÐCÙ

�ÛŠ»Z¤/¥x™**ƒÂ�Û&Æ{ÃZÏ�Û&ÆÀZ�ÛZŠ6,„™}XCÙ�ÛŠ»8~î OòWñÇX,ZŒÔ6,5±ƒ:

û88 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

))))ÔÔÔÔÔÔÔÔ»»»»††††((((24/144 ÔŠZŠ-VÆ 36/144 Æ{!*nKM43Ô42Zzg48òWñXZ[ç-VÆ

W‰ZkÆ„™Æ5±ƒ: 84/144 ZzgRƒVÆ25% c* 0.25 = 36 /144 )1(izY]»8~î O:

16.67% c* 0.1667 = 24 / 144 )2(ŠZŠ-V»8~î O:

58.33% c* 0.5833 = 84 /144 )3(RƒV»8~î O:

W\ä5±H!*sy�uZYÆ„Wy�~Nû™ÆÔc*Q‚ïw™z„³ÂòWc*&ëä«Šz÷zV~ïуZìX

1 aètù· 0.9584=0.1667+0.6667+0.125 ù·‰: ™™™™˜åååå WWWWEEEEZZZZ1111CCCC

0.0416 =1-0.9584 ÐÁìÔ®Z’c*9»ìOç:“{5éE]»z:Presented by www.ziaraat.com

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„F,ā:)Zq-ÑÄÔ‚JDÙZg(gz9F,āìÔ 160,000 }èÃg{!*ÑVw~

? ÂCÙzZg_ÃÄgz9�ÐÀF,ā X X~z = FFFF,,,,āāāā~~~~££££////zzzz

Oçgz9 20,000 =160,000X0.125 = izY]»zì 4 )1(

gz9 5000 = 20,000 @ 4= izz»z 1 ‰‰‰‰‰

gz9 106672 = 160,000X0.6667 @V»z: 18 ( )2

gz9 5926.22 =106672@18 = »z e1 ‰‰‰‰‰

gz9 26672 = 160,000 X 0.1667= »z ŠZŠ-V 15 )4(

gz9 1778.133 = 26672@15= »z ŠZŠ~ 1 ‰‰‰‰‰

gz9 6656 = 160,000 X 0.0416 = »z RƒV 6 )3(

gz9 1109.33 = 6656@ 6 = R»z 1 ‰‰‰‰7,@*w:

160,000 = 6656 +26672 + 106672 + 20000

û89 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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)uZYm:42( 9 VVVVwwww����Únjþ³þ³þ³þ³

R7 ŠZŠc*V 6 ÃÓV 10 çc*V 2

1111CCCC 9 1/6 2/3 1/8 ZÝ{0.0416 0.1667 0.6667 0.125

4.16% 16.67% 66.67% 12.5% ‚~{

„F,ā:ŧbìÜs�ÛttìāgƒzkÅ®ZŠZì 8 tÂ!*ÇVw�

6,18 ZzgZk»…Ãð6,zZ7X'ZÚƒÇāëVw~Z¤/@VÆ{Ã6,„HYñÇYè@VÅ 10 „™ÆCÙ�ÛŠ»zïÑåÂŒVZÐ

ìX 10 ®ZŠOçCÙ�Û&Æ{ÃÀF,ā~¢[Š}ÂZÏ�Û&»zòWñÇ

WÐCÙ�ÛŠ»Z¤/¥x™**ƒÂ�Û&Æ{ÃZÏ�Û&ÆÀZ�ÛZŠ6,„™}XCÙ�ÛŠ»8~î OòWñÇX

ÐÁ 1 aètù· 0.9584 =0.1667+0.6667+0.125 ù·‰: 1111CCCC

0.0416=1-0.9584 ìÔ®Z’c*9»ìOç:“{5éE]»z:

û90 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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10 VVVVwwww����Únjþ³þ³þ³þ³

R12 ŠZŠc*V 16 ÃÓV 28 çc*V 4

1111CCCC 9 1/6 2/3 1/8 ZÝ{0.0416 0.1667 0.6667 0.125

4.16% 16.67% 66.67% 12.5% ‚~{

tVwuZY~7ÉZkÅÑb§Zi~~m:9516,ÓzÔÂZ¬ZzgD+Z4ÐVñ¦™ÆÜňìt!*]c*ŠgìāuZYz){~VßV»ÑCYÃÓxÒV»w™Z**ƒ@*ì®Zz{ÑZk!*]Ðq݃Y@*ìāVw"—z„gì1Zy~zgU*YÅ®ZŠpsƒCgìYèzgU*Y�ŒVgƒkBD÷Åp~ÐñpsƒYC÷Ô1øg};V

ƒ�»Zq-„iìāZzwZÝ”VÆN»™Šc*YñÔZzg'ZÏÃÀF,Æ~¢[Š}Š,ÂzgZV$„ƒYñÏZzgZ¤/F,āÅ„°Š:ƒÔÂ

~¢[Š}™CÙ¤/z\»z‚~ò 100 N»™äƈCÙ{ÃWñÇc*QZÏÃZϤ/z\ÆZ�ÛZŠ6,„™ÆCÙzZg_»zòWñÇXOçZÏVwÃÌëVßVŧbi™BX

û91 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

ÐÁ 1 aètù· 0.9584 =0.1667+0.6667+0.125 ù·‰: 1111CCCC

0.0416=1-0.9584 ìÔ®Z’c*9»ìOç:“{5éE]»z:

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)3(Z#zgU*YÜsfz~ZÁznƒV:Š~ntāËèÆzgU*YÜsfz~ZÁznƒVª9Æîg6,ÃðzZg_ñ�Š:ƒOçLLZyßgÂV~!*\WY@*ì1z{fz~ZÁn

ÅwÐZCz©8ì¾TZ#zgU*Üsfz~ZÁznƒVÂXÅ&ßg'0$Ë÷XZzwtāzgU*Y6,{7g}7g}ZF,YNXŠzxtā

zgU*YƉŮZŠZyÆ%`Ð(,|YñÔÎxtāfz~ZÁznÃZL{Š¶ÆˆZ̼F,ā!*¹ƒXU*ã»múwÐìU*¬�»mLLgŠóóÆ‚BìXZ%«ßg]~aèoåƒYCì®ZZk~ËnÆgŠz$+wÅ¢zg]77,CX}:Zq-¿zZ−+ZzgŠzÃÓVgh™]ƒŠH

Š}™X» 1/6 ZzgzZ−{ÃÌ 1/6 ÔzZ−à 2/3 XÂZkßg]~±YVÃ{±YVÃZzgZq- 4 Ð0YñÇ 6 ƒYñÇXuZYƧj6,:X

Zq-zâV!*\Ãï™Àb{7g}ƒYNÐøg}§jÆ_.:!*\ ÃÓV2 âV

(0.1667)1/6 (0.6666)2/3 (0.1667)1/6

1 =0.1667+0.6666+0.1667 ù·‰:

100 = 16.67% + 16.67% + 66.66% c*‚~~:

Ðic*Š{ƒ@*ÔÂLLúwóóƒ@*ZzgZ¤/Áƒ@*ÂLLgŠóóƒ@*XtŠzâV 1 Z¤/ù·‰xZb_÷®ZZ7WÐZµZµ”V~f™GYgì÷X

û92 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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Îx

úw»Òy

LZ(ƒ@*ìāzZgU*yƉZÝZÐ(,|YD÷ZzgLÁƒYD÷XZzwZ™ßg]~LLúwóóÅ¢zg]7,CìZ#āU*ã~LLgŠóóÃZ(gHY@*ìX,ZkÅtìÔā}Zq-úg]ÆzgU*YØCÙÔ

‘W 2/3 Zzg 1/6Ô1/2 zZ−{ZzgŠzÇä÷XZyÆ!*nKM{(3 ~Ð 6 )ª 1/2 ”V~„™Æ 6 ÷XZ[ëZ¤/7g}F,āÃ

g{‰ 2 ~Ð( 6 (âVÃÂ’c*{) 1 ~Ð 6 )ª 1/6 iz`ÃÔ“VÃZÌŠbìÔ 4 ~Ð 6 gLìXÍc*ā 2/3 “V»zZÌ 2²

XZϧbZ¤/“VìŠ,Ð {aƒñ÷ 2 1ßg]!*Ñ~Üs

”VŶ!*¹zgU*Æ3D~WñÏX 2 Âz„Ŷ 2 ®ZZÏqª�ÃLLúwóóЙƧitZ(gHY@*ìāZk

¯ñYNÐZzgQZy~ÐTzZg_Ã� 8 Ã7gZ™äÆnÀ{1/6 Ô3/8à 3/6 ƈ[Њc*YñÇXÍc*ā 6 zŠc*YñÇz{

ÔŒÛZgŠñYNÐXOçVwèÃgúwЬ 4/8à 4/6 Zzg 1/8 ÃZzgúwÆÔŠzâV5±ƒ:

û93 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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Únjþ³þ³ØCÙŠzÇäâV

1/6 2/3 1B2 ZÝ{

1/6 4/6 3/6 c*

ŒÛZgŠc*ŠHX 8 ‘W÷Ô®ZZk»%` 8 aèZyƒ�‰Ã¦™ÆÆ',Z',ìX®ZZ-îg6,ØCÙÃ7g}F,ā 3/6 ì�ā 1/2 ªØCÙ»zYe34/õ XG

JÔ1‰Åic*ŠCZzg%`Å;Åzz 3 {™ÆZy~Ð 6Æ„ŠñYNÐ1 3 ÐúwÅ¢zg]7,ˆTÅzzÐØCÙÃÂ8zõ Oz„

Zkn¹āfz~ZÁznÆæ{ŒÛWyä 8 ~ÐXZzgt 8 ƒVÐtOçZ[ßg]!*Ñ~úw k�ì 8 ßg]!*Ñ~Hg�Ûâñ÷ZyÅ®ZŠ

ƈ{-VÐ:Únjþ³þ³

iz`äâV1/8 4/8 3/8

øgZ§i:èÃg{!*ѧiuZY»Z(g™Š{ìÔªZzwLLZÝXóó¥x™,Q

Z¤/úwÅßg]ìÂZÝZУ/°ŠJ-úwHYñ6āßg]

J-úwHŠHìX²øgZ§i¼ZìZk~ 8 Ð 6 èÃg{~

û94 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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Oç ÐŒÛZgŠc*ìX 100 Ðc*Q‚~Åßg]~ 1 aèCÙXëäƒ�ЬY't¢zg~ƒÇāXLL¬óóìc*7?ZzgZkÅW‚yTy

óóÐc*QLL‚~óóÅßg] 1 øg}§i~tìāLLù·‰óóZ¤/LL

Ðic*Š{ƒÂõāX~LLúwóóÅ¢zg]ìX 100~Z#t!*]Dîg6,¥xƒYñāXLL¬óóìªZk~LLúwóóÅ¢zg]ƒÏÂqgzis‡°{Æ_.CÙ¤/z\c*CÙzZg_»zïBÂt

ZϤ/z\c*ZÏzZg_»úwƈzƒÇXZzgt!*]c*ŠgìāúwÅßg]

~ËzZg_»ZÝ8~î Oz„ƒ@*ì�úwÆòWñXz{8~î OCÙ¦/7ƒ@*�úwЬLVc*Z(g-VÅßg]~–ƒ@*ìX

ZŒÔ6,VB5±ƒVXëÃÒ™,ÐāZyVßVÃF,ߊ,Î

uZY~Š}™iÅ÷X

û95 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

= zZg_»8~î OZ¶wZÝzIZ¶w

ù·‰

ŒVNŶKy„êCÙ™CìªúwЬËzZg_ÆZÝ{Ãù·‰ ))))1111((((

6,„HYñÂZÏzZg_»ÇzˆZ¶wòWñÇX!*¹Ãgñ!¾§b¯?gc*èX 1111QQQQÌÌÌÌÂÂÂÂ[[[[ÆÆÆÆWWWWyyyy����~~~~ZZZZmmmmzzzzŸŸŸŸssss####ŠŠŠŠgggg`ÅÅÅÅYYYYññññÏÏÏÏ Y+zZáY…÷

))))1111((((

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1 Vw�Z™x{yZq-ç~ŠzäZzgZq-zZ−{gh™]ƒZZ¤/ÀF,āÅlZgZq-

ÑÄgz9ìÂzgU*YÃHHâwAÇ?Únjþ³þ³þ³

ä2 ç~zZ−{

2/3 1/6 1/4 ZÝ{0.6667 0.1667 0.25

ƈ úw

1111CCCC {:

61.54% 15.38% 23.08% ‚~{

F,ā~zZg_»8~î O:Z~8~î O<ÀF,ā „F,ā:gz9 23,080 = 100000X0.2308 )1(izz»F,ā~z:

gz9 15,380 = 100000X0.1538 )2(zZ−{»F,ā~z:gz9 61540= 100000X0.6154 “V»z: 2 )3(F,ā~

gz9 30775 = 61540 @@@@ 2 ǻz: 1

û96 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

0.6667 0.1667 0.25

1.0834 1.0834 1.0834

=0.6154 =0.1538 = 0.2308

1.0834 = 0.6667 + 0.1667 + 0.25 À‰»ù·: 1111CCCCóóÐ(,|g;ì®Zúw¢zg~ìX 1 aèù·‰LL

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)uZYm02( XŸat:ZÅ{y¯]ƒZTÆzgU*Zq-ç~ÔŠzÃÓVZzgzZ−+)âVÔ!*\(

(gz9ìÂt¥x™}āCÙ 100000 úg{‰XZ¤/ÀF,āZq-ÑÄ)zZg_ÃHzAÇ?

Únjþ³þ³þ³ÃÓVZ[âV 2 izz 1

1/6 1/6 2/3 1/8 ZÝ{0.1667 0.1667 0.6667 0.125

úwƈ1111CCCC {

14.82% 14.42% 59.25% 11.11% ‚~{

„F,āZŒÔ6,5±ƒ:

û97 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

1.125 1.125 1.125 1.125

=0.1482 =0.1482 =0.5925 =0.1111

0.1667 0.1667 0.6667 0.125

1.125 =0.3334+0.6667+0.125 À‰»ù·: 1111CCCCóóÐ(,|g;ì®Zúw¢zg~ìX 1 aèù·‰LL

OçzZ¶w=zIZ¶wù·‰

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„F,ā:gz9 11110 =0.1111@100,000 F,ā~izz»z: ))))1111((((

gz9 59250=0.5925<100,000 )2(F,ā~ŠzâV@V»z:gz9 29625 =59250@2 ²CÙÇ»z:

gz9 14820=0.1482<100,000 )3(F,ā~zZ−»8~î O:

gz9 14820=0.1482<100,000 )4(F,ā~zZ−{»8~î O:

7,@*w:100,000 =14820+14820+29625+29625+11110

û98 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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3 Vw�gæ¯]ƒZTÆzgU*Zq-ç~ÔzZ−{ŠzC)!*\Ñq-(äZzgŠz

(gz9 100000 Zì°)âVÑq-(äúg{IXZ¤/ÀF,āZq-ÑÄ)ìÂt¥x™}āCÙzZg_ÃHzAÇ?Únjþ³þ³þ³þ³þ³

gC»�Û Zì°ä 2 ´Cä 2 ç~âVX 1/3 2/3 1/6 1/4 ZÝ{øzx 0.3333 0.6667 0.1667 0.25

úwƈ{1111CCCC

23.53% 47.06% 11.77% 17.64% ‚{

„F,āZŒ™6,5±ƒ:

û99 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

1.4167 1.4167 1.4167 1.4167

0.2353 0.4706 0.1177 0.1764

0.3333 0.6667 0.1667 0.25

1.4167 =0.3333+0.6667+0.1667+0.25 À‰»ù·: 1111CCCCóóÐ(,|g;ì®Zúw¢zg~ìX 1 aèù·‰LL

zZ¶w= zIZ¶wù·‰

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„F,ā:)1(ÀF,ā~izz»z:

gz9 17640 = 0.1764X100000 :

)2(ÀF,ā~âV»zgz9 11770 = 0.1177X100000:

)3(ÀF,ā~´C“V»z:gz9 47060=0.4706X100000:

gz9 23530 = 47060@2 CÙZq-Ç»z:

)4(Z§°Ç¸ÇV»z:gz9 23530 =0.2353X100000:

gz9 11765= 23530@2 CÙZ§°Ç»z:

7,@*w:100,000 =23530+47060+11770+17640

û100 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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`Xgx

gŠ»Òy

gŠúwÅ¡)',@(ìX,ZkÅtìāfz~ZÁznÃZLHg{Š¶Æˆ¼zZ¤/!*¹$YñÔÂZЊz!*g{fz~ZÁznu~Z4Æ

‰ÅÚЄ™**7,@*ìÔZzgZÐZ˜b~LLgŠóó¹Y@*ìXOçzgU*YÆ{xz{ƒf�LLZ°ŠóóƒVXŒVŠz!*ÂV»ìw¢zg~ì:

LLgŠóóÜsfz~ZÁznu6,ƒYì®Zizåfz~ZÁznƒä X1

Æ!*z�ŠLLgŠóóÐIƒVÐÔYètfz~ZÁzn]4-öEE÷XXŠzu~!*]tā“{5éE]Åßg]~LLgŠóó‡7ƒYX 2

ZkÆŠz‡°}qgzfs÷:

û101 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

‰‰‰‰‰‰‰zZg_»zZÇæOŠ: (1 ‡°{)zIZÇæOŠÀ‰»ù·

‰‰‰‰‰‰‰‰zZg_»zZÇæOŠ: D2E ‡°{

â$§öEGðZuZ²zå X zIZÇæOŠ

ðk,Š:ÆÀ‰»ù·

1 ZEwHYñÇXzg:� 2 Z¤/ÃðzZg_쇰{ izå~Ð ////

////

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XgŠÅTy:èÅ÷Æ�CÙzZg_ZzgZk»Hgz’k,™äƈŠ¬YñX

āzgU*Y~9ñ�Šìā7?Z¤/9ñ�Š÷ÔQÂLLgŠóó»ÎZw„71 aZƒ@*XZzgZ¤/97ñ�ŠÂŠ¬YñÇāZy‰»ù·Hì?Z¤/

ÐÁìÂZk» 1 Ðic*Š{ìQÌLLgŠóó7ƒYZzgZ¤/ù·‰ 1c*

ÈtìāZkZ~LLgŠóóÅ¢zg]7,}ÏXzzùtìāizå)xVç~(~ÐÃðƒÇc* ZkÅeg9k�÷

7?QCÙŠzßg]~½zZuƒÇc*¼ŠZϧbtegßg'0IX

)1(

zgU*Y~ZuZ²zå:ƒZ+èāZkÆzgU*Y~xVç~~ÐÃðñ�Š:ƒc*ÂZkèä÷ኄ7ŶZzgc*÷áŠ~ÂŶ1Zk»�hZZkЬzÃ]0*[åX

zgU*YŠznƃVÐ)1(½zZu)2(Z»k¼Š

: ½zZuZq-„½ÆƒVªƒ�ƉZq-nƃV"— èÆzgU*Y

ZyÅ®ZŠic*Š{ƒVÔZzgxVç~~ÐÃð:ƒÔfsÅVB5±ƒV:

Zq-¿¯]ƒZTÆzgU*Üs&ÃÓVg{IZk :((((1 VVVVwwww����))))

û102 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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ßg]~XtƒÇāF,āÃÀzgU*Y6,',Z',',Z',„HYñÇXOç&Åßg]~&6,Zzgegc*0*õÅßg]~egc*0*õ6,„HYñÇ}:

Únjþ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³eee

1/3 1/3 1/3

Únjþ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³

ÇÇÇÇÇ1/5 1/5 1/5 1/5 1/5

óóÐňì®ZèÃg{!*ÑßgÂV 1 aèÂ[˜å WEZ~)bÅCóLLÅ(F,āÅlZgÉ™ 1 Ðïá‰÷XF,āÅßg]~ 1 ~Ì{

1111CCCC „™}ÂCÙzZg_»zF,ā~òWñÇX

2 /3 èÃg{!*ÑßgÂV~Z¤/Ãð9ñ�Šƒ@*ÂZyƒ�@Vc*“Và 1111CCCCÇz{“{5éE]Êc*Y@*Ô1ŒVaè9 1/3 M&Zyƒ�ÆŠgxy„HY@*Zzg�

ÌZ4Êc*ŠHÔ&Z˜b~LLgŠóó¹Y@*ìX1 1/3 ƈ!*¹ 2/3 Ãð7®ZŒVaèƒ�zgU*Y»m½zZuÐìªZyƒ�Æ{',Z',÷Ô®ZZÏßg]

~‚gZF,āZyƒ�fz~ZÁznÆŠgxy',Z',„HŠHXt!*]c*gìāXgŠt~F,ā~zZg_»zz„xƒÇ�LLgŠóóƈ�ƒXgŠÆ)bZL£x~ÒyG

YNÐX

û103 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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: Z»k¼ŠZk»Ètìā®›zgU*YÆ‚B‚BZyƉÌZƒV

Ѓc*ŠzâVÆ‚B}: 1111CCCC eìZy‰»mZq-âq

( T~ÛZzg‡k¦ƒV ) :((((2 VVVVwwww����))))

Zq-¿¯]ƒZZkÆzgU*~ÐZq-eZzgZq-7Cg{XZ¤/F,āÅ

(ìÂzgU*»ZµZµzHƒÇ? 100000 lZgZq-ÑÄgz9)Únjþ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³

e7C1/6 1/2

0.1667 0.5

0.6667 =0.1667+0.5 ù·‰:HYñÇX ÐÁìZzg9ÌÃð7®ZŒVLLgŠóó "1" aèù·‰

ZŒÔ6,5±ƒ:

û104 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

âqÅ,tìāŒÛWy0*u~èÃgÀ”VÊzZâZq~„G‰÷X 1111CCCC::::

âqZzw:XÛÔg,Ôy)W‚ãÆîg6,-VŒāÔX»%`26,„ƒ@*ƒ(âqŠzx:X&Ò5é I

IyÔuÔ‡k)ªX»%`36,„ƒ@*ƒ(Îik,cñçq~{¼Šƒ™Zq-Šzu}ÐZƒVÔeìâqZzwƃVc*ŠzxƃVc*ŠzâVÆ&B5Òû

EG)ª‰âqZzwÆZzg‰âqŠZxÆ(ƒVX

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Únjþ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³e7C

1/6 1/2 ZÝ{:0.1667 0.5

1111CCCC {Z°Š

: ZzgZ¤/F,ā¥xƒÂ „„„„FFFF,,,,āāāā::::ÀF,ā X ÀF,ā~z:X~zZ°Šgz9 75000 = 0.75X100000 )1(e»z:gz9 25000 = 0.25X100000 (7C»z: 2)

gz9 100,000 = 25000+75000 7,@*w:

û105 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

0.1667 0.5

0.6667 0.6667

25% 75% ‚~{ = 0.25 ==== 0.75

ÐÁìZzg9 "1" Xù·‰ 0.6667 =0.1667+0.5 ù·‰: 1111CCCC

HYñÇZzgZuZ²zåÆ:ƒä ÌÃð7®ZŒVLLgŠóóZEwƒÇX 1 ÅzzЇ°{�

zIZ°Šù·‰ zZ°Š=

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)T~ÛZzgŠz‡kƒV( (3) Vw�Zq-¿¯]ƒZZkÆzgU*~ÐZq-eÔZq-7CZzgâVg{‰XZ¤/

(ƒÂzgU*»ZµZµzHƒÇ? 100000 F,āÅlZgZq-ÑÄgz9)Únjþ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³

e7CâV1/6 1/6 1/2 ZÝ{

0.1667 0.1667 0.5

{{{{ˆZZZZ°°°°ŠŠŠŠ))))1111((((

ÀF,ā X ÀF,ā~z:Z°ŠX~z „F,ā:gz9 60000 =0.60X100000 )1(e»z:gz9 20000 =0.20X100000 (7C»z: 2)

gz9 20000 =0.20X100000 (zZ−{»z: 3)

û106 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

0.1667 0.1667 0.5

0.8334 0.8334 0.8334

20% 20% 60% ‚~{= 0.20 = 0.20 ==== 0.60

0.8334 = 0.1667 + 0.1667 + 0.5 ))))1111((((ùùùù····‰‰‰‰::::

ÐÁìZzg9ÌÃð7®Ztßg]LLgŠóóÅìX "1" aèù·‰

»Z:tƒÇX 1 ´z{Zi,Zk~ZuZ²zåñ�Š7®ZŒV‡°{�

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:((((4 VVVVwwww����))))

(gz9ìX 100000 F,āZq-ÑÄ) T~uZzg‡k¦ƒVÔZzg

Únjþ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³Zì°Ç¸ðzZ−{

1/6 1/3 ZÝ{ 0.1666 0.3334

Z°Š{))))1111((((

„„„„FFFF,,,,āāāā::::gz9 66680 =100000X0.6668 Zì°Ç¸ð»z: )1(

gz9 33320 =100000X0.3332 zZ−{»z: )2(

ÐÁ "1" aèù·‰ ,0.5 = 0.1666 + 0.3334 ))))1111((((ùùùù····‰‰‰‰::::»Z:tƒÇX 1 ìZzgZuZ²zåñ�Š7®ZŒV̇°{�

û107 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

0.1666 0.3334

0.5 0.5

====0.3332 = 0.6668

33.32% 66.68% ‚~{

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:((((5 VVVVwwww����))))

(gz9ìX 100000 F,āZq-ÑÄ) T~ÛZzgu¦ƒVÔZzg

Únjþ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³zZ−{ ÇÇ

1&&&&3 1&&&&2 ZÝ{(0.3334) (0.5)

0.3334/0.8334 0.5/0.8334 {Z°Š=0.40 = 0.60 )1(

40% 60% ‚~{

„„„„FFFF,,,,āāāā::::ÀF,ā X F,Æ~zZg_»z:Z~zZ°Šgz9 60,000 = 100,000 < 0.60 )1(ÇÇ»z:

gz9 40,00 = 100,000 < 0.40 )2(zZ−{»z:

ÐÁì "1" aèù·‰ ,0.8334 = 0.3334+ 0.5 ))))1111((((ùùùù····‰‰‰‰::::

»Z:tƒÇX 1 ZzgZuZ²zåñ�Š7®ZŒV̇°{�

û108 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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Z#X~Šzu)&Ò5é IIy(ZzgZq-‡k¦ƒVX :((((6 VVVVwwww����))))

Únjþ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³

âV 2ÃÓV

1&6 2&3 ZÝ{(0.1666) (0.6667) ))))1111((((

ZÝZzg‚~{Z°Š

„F,ā:

ÀF,ā X F,Æ~zZg_»z:Z~z

gz9 80000 = 100000<0.80 )1(2@V»z:gz9 20000 = 100000 <0,20 )2(zZ−{»8~î O:

aèù·‰ ,0.8333 = 0.1666 + 0.6667 ))))1111((((ùùùù····‰‰‰‰::::

»Z:tƒÇX 1 ÐÁìZzgZuZ²zåñ�Š7®ZŒV̇°{� "1"

û109 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

0.1666 0.6667

0.8333 0.8333

=0.20 c*20% =0.80 c*80%

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)2(

ìZuZ²zåfz~ZÁzn ËèÆzgU*Y~Г{5éE]ÂÃð:ƒV1Zy~

uÆ‚Bfz~ZÁzn]4-öEE)ZuZ²zåªxVç~~Ð(Ìñ�ÃZEwHYñÇX 2 ƒXZkÆn‡°{�

(2) Î^‚å

qzV»¥x™**¢zg~ì: 3 ÆiÆn " )bgŠ " ZknÆ. ËzZg_»ZÝzT»z{Ѧîg6,�ì}ÛÔg,uz){ ((((1))))

fz~ZÁzn~ÐLLâ$§öEGðZuZ²zåóóZk»ÈtìāZu ((((2))))

1/4 ÐtHYñX}Z¤/Ëßg]~ç~»zg,) "1" Z²zå»z0YñÇX 0.75=1-0.25 (áCìÂâ†ðZuZ²zå 0.25ª

ðk,Š:Ɖ»ù·XZkÐ%ZŠZyfz~ZÁznƉ»ù· ((((3))))

X6,gŠHY@*ƒ!*ÖpŠvZyÐ%ZŠfz~ZÁznu÷c*%ZŠtāizåÆ´z{!*¹‚g}fz~ZÁznZy~÷áï÷X

û110 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

zzzzZZZZgggg____»»»»zzzzˆZZZZÇÇÇÇææææOOOOŠŠŠŠ::::â$§öEGðZuZ²zå X zIZÇæOŠ

ðk,Š:ÆÀ‰»ù·

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OçZyÐVZñgÃ¥x™ÆèÃg{!*ч°{)Ãgñ!(~Šg`™äƈZ#ˆ!¿Ð¦/gYñÂ&4-@î

EGGEGSzZg_»z)Z°Š(q݃YñÇX

:((((1 VVVVwwww����))))

g{ Y Zì°ä¨zgU* 6 ].Z]Zzg 4 Я]ƒZZzgúZq-ç~Ô

(gz9ƒÂCÙzZg_»z¥x™,X 100000 ‰XZ¤/ÀF,āZq-ÑÄ)

Únjþ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³6 ZpZ]Ñx 4 izz].Z]

1/3 1/6 1/4 ZÝ8zõ O

(0.3334) (0.1667) (0.25)

0.5 0.25 {Z°Š50% 25% 25% ‚~{

,:0.750 = 0.3334 + 0.1667+ 0.25 À‰»ù·:

ÐÁìZzg9ÌÃð7®Ztßg]LLgŠóóÅìX "1" aèù·‰

»Z:tƒÇX 2 ´z{Zi,Zk~ZuZ²zåñ�Šì®ZŒV‡°{�

û111 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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: Zñg!X~Ð)1(ªLLzIZÇæOŠóóÂZz6,¥xƒŠH!*¹2Šgzfs÷:

Ɖ»ù·= Úàm†�Â×nãÜ )2(

0.50 = 0.3334 + 0.1667:

0.75 = 1 - 0.25 Ú^eÏoÚà]u‚]ÖˆæqnàV )3(

aèizz6,gŠ7ƒY®Zizz»z„zƒÇ�ZЬ5ìŒVizzÆO燰{èÃg{ů6,: ´z{6,gŠ™ÆZyÃzŠc*YñÇX

„„„„FFFF,,,,āāāā::::

gz9 25000 = 100000 X 0.25 ŠZŠ-V»z: 4 )1(

gz9 12500 : 25000/4 ®ZCÙZq-ŠZŠ~»z:gz9 50000=100000 X0.5 Zì°Ç¸–V»z: 6(2)

gz9 8333.333 =50000/6 ®ZCÙZq-Ǹð»z:gz9 25000 = 100000 X 0,25 (izz»z: 3)

û112 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

zzzzZZZZgggg____»»»»zzzzˆZZZZÇÇÇÇææææOOOOŠŠŠŠ::::â$§öEGðZuZ²zå X zIZÇæOŠ

ðk,Š:ÆÀ‰»ù·

].Z]»zZ°Š: 4 ((((2))))0.75 X0.16667

0.50 25% c*0.25 =

ZzÑŠZÑx»zZ°Š: 6 ((((3))))0.75 X0.333450% c*0.5 =

0.5 0

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:((((2 VVVVwwww����))))

Únjþ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³6 ŠZŠc*V 9 ÃÓV 4 izY]

1&6 2&3 1&8 ZÝ{(0.1667) (0.6667) (0.125)

17.5 0.70 {Z°Š17.5% 70% 12.5% ‚~{

,:0.9584 =0.1667+0.6667+0.125 À‰»ù·:

ÐÁìZzg9ÌÃð7®Ztßg]LLgŠóóÅ "1" aèù·‰)m:901(» 2 ìX´z{Zi,Zk~ZuZ²zåñ�Šì®ZŒV‡°{�

Z:tĂX

Zñg!X~Ъ:)1(ªLLzIZÇæOŠóóÂZz6,¥xƒŠH!*¹2Šgzfs÷:

0.8334 = 0.166 + 0.667 )2(ðk,Š‘Í-āê GƉ»ù·:

0.875 = 1 - 0.125 : â$§öEGðZuZ²zå )3(

û113 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

ZZZZgggg____»»»»zzzzˆZZZZÇÇÇÇææææOOOOŠŠŠŠ:::: zzzzâ$§öEGðZuZ²zå X zIZÇæOŠ

ðk,Š:ÆÀ‰»ù·

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aèizz6,gŠ7ƒY®Zizz»z„zƒÇ�ZЬ5ìŒVizzÆ´z{6,gŠ™ÆZyÃzŠc*YñÇXOç:

„„„„FFFF,,,,āāāā::::gz9 12500 = 100000 X 0.125 ç-V»z: 4 (1)

ggggzzzz9999 3125 ====12500/4 CÙç~»z:gz9 70000 = 100000 X 0.70 @V»z: 9 (2)

gz9 7777.8 =70000/9 e»z: CÙgz9 17500 = 100000 X 0.175 ŠZŠ-V»z: 6 (3)

gz9 2916.7 =17500/6 CÙŠZŠ~»z:

gz9 100,000 =17500+70000+12500 7777,,,,@@@@****wwww::::

û114 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

@V»zZÇæOŠ: 90.875 X 0.6667

0.83340.70% c*0.70 =

].Z]»zZÇæOŠ: 60.875 X 0.1667

0.833417.5% c*17.5 =

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Q

£\*îGZÄCåE

)1(ƒ�Ьt!*]f‚d�ÛâkÇā÷Z_ÅÂ1V~!*<m

uZY~£\*îGZÄCåEÅcãCŠ~îg6,|]ih+0U*"$ñÆÝűìXTÆgzÐLL].óó‡ì£x!*\Æ7)TдZÑÈyzZY]

’[ƒYD÷(ÉZkÆ‚BZÑÈyzZY]!*‡°{îg6,zgZV$Æ�ƒD÷ÔZzgZÐ)ª].Ã(Zq-¸ðÆ',Z',9ŒÛZgŠ}Šc*ŠHìOçZ4Zb_ÃuZYz){~LL£\*îGZÄCåEóóÆ**xÐñÎxHŠHìX)2(Zßàîg6,ZÏcÃ…¢zg]„7ìYèLL].óóZ¦sÆ4,Šq-éLL!*\óóƃ@*ìÆotā!*\ñ�Š:ƒXZkÅ,Ô,]

~fz~ZÁznÆfs~¦/g_ìX®Z4ƒäÅwÐZ#ëZ+ßg]qwЊzegƒVÐ6āŒVf™HYg;ìÂë£\*îGZÄCåE

Ü-Zb_~7,}%LL].óóÃéZ[ŒÛZgŠ}™ZkÅzzÐÓx´ZÑÈyZzgZY])ªÓxǸð(zgZV$ÐøzxŒÛZgŠ,ÐX)3(1ŒV£\*îGZÄCåEÅc’k,™äÅAYtìāaèæZgk

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Vw:Zq-úg]U>’zÃ]0*ˆTÆzgU*Yiz`)ih+(ÔâV)U(Zzg

Zq-e)™`(g{‰X1„zgZV$Ьih+»ZÙwƒŠHTÅZq-

ç~)V(ZzgâV)gÏ(!*\)/z(g{‰ZÌ÷Z_„7ƒð¶ā

™)’Åe(¯]ƒTÆzgU*YZq-e)gµ(ŠzdW){−Zzg

¬$+(ZzgZq-**ãUg{‰ZiZVUÅzÃ]ƒ�q-ØCÙ)–(Šz¸ð)¬%ZzgZ}(zgU*YghX)Z(

Únjþ³þ³þ³þ³iz`›MâV

ih+™`U

1/6 1/2 1/4

(0.1667) (0.5) (0.25)

0.9167 = 0.1667+ 0.5 + 0.25 ù·‰:ÐÁìÔ®ZXLLgŠtóóìXŠzu~!*]tìāŒVZk 1 aèù·‰

Æ_.ZkÆn 2 ~iz`)T6,gŠ7ƒ@*(Ì÷áïì®Z‡°{�&qzV»ƒ**¢zg~ìX

û127 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

)1(=z0+~ÔuZ`Z−+·0†Z°æÔZ–ZY°ZÅ-.çGZ_Ô@*ûv?zgÔ)m23Ô33(

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XzZg_»IZ°Šz‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰tÂZz6,q݃ŠHX 1

0.75 = 1 - 0.25 Xâ$§öEGðZuZ²zå: 2

0.6667 = 0.1667 + 0.5 Xðk,Š:Ɖ»ù·: 3

Oç:

®ZZ°ŠX:Únjþ³þ³þ³þ³

iz`›MâVih+™`U

0.188 0.562 0.25

û128 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

zzzzZZZZgggg____»»»»zzzzˆZZZZÇÇÇÇææææOOOOŠŠŠŠ::::â$§öEGðZuZ²zå X zIZÇæOŠ

ðk,Š:ÆÀ‰»ù·

›M™»zZ°Š:0.75 X0.5

0.66670.562=

âVU»zZ°Š:0.75 X0.1667

0.66670.188 =

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Únjþ³þ³þ³þ³âV izz!*\

û129 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

ih+0.25 â°Z6:

0.06250.0625 0.125

0.562 â°Z6: ™`

90.8333

0.1667 0.3333 0.3333

0.0930.1880.1880.093

óóóó

óóóó

óóóó

óóóó

óóóó

óóóó

óóóó

óóóó

óóóó

óóóó

0.1667

1/6

U{−¬$+gµ

V/zgÏ

eÏo 9uâ 1/4

0.25 0.5 0.25

Únjþ³þ³þ³

1111CCCC

Z0Z0›M **ã

CÙzZg_Æ{Ãâ°Z6~¢[Š}™ZÝ{òWñ�ā÷ÆnŠg`÷ 1111CCCC

Zϧb™`ÆzgU*YÆ 0.0625,0.125,0.0625 }ih+ÆzgU*YÆZÝ{ÔœVÆ 0.093. Z݉z{÷�gK÷zVÆnŠg`G‰}**ã»z

YÆ�Z4”VÊg`™**ì uþ³þ³þ³þ³þ³þ³n^ ZÑ ÔOç 0.093 Zzge»z 0.188{

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Únjþ³þ³þ³iz`¸ð¸ð

–¬%Z}9 1/2

Æ�Šg`™,XÆ ]Ÿun³^ð Z[Wy�~ZyÓxßÍVÆ**xÉ™»¶Ky7ÎìX´z{Zi,Zq-¿ÃZ¤/Zq-Ðic*Š{{A n

ƒVÂZyæ™Æ´zZg_Æ‚BZq-°Š~’k,™,ÔtZÈxËzZg_Æ3D~Sîâ°Z6Æñµ6,.e$¢zg~ƒ@*ì6āU>

UÆ'~HŠHìX

û130 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

U0.281= .188+.093 â°Z6:

0.14060.0702

0.25 0.25 0.5

0.0702

V/zgÏgµ{−¬$+–¬%Z}unþ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³þ³n^ð ]Ÿ

0.0702 0.1406 0.188 0.0625 0.0625

0.0702 0.188 0.093 0.125

7.02% 14.06% 18.8% 6.25% 6.25%

7.02% 18.8% 9.3% 12.5%

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„F,ā:Z¤/ÀF,āZq-ÑÄgz9÷ÂÓxzgU*Y~qgzfs§i6,„HYñÇÔÃgñ!qgzfsìX

gz9 6250 = 100000 X 0.0625 V:

gz9 6250 = 100000 X 0.0625 gÏ:

gz9 9300 = 100000 X 0.093 gµ:

gz9 12500 = 100000 X 0.125 /z:gz9 18800 = 100000 X 0.188 {−:

gz9 18800 = 100000 X 0.188 ¬$+:

gz9 14060 = 100000 X 0.1406 –:gz9 7020 = 100000 X 0.0702 ¬%:

gz9 7020 = 100000 X 0.0702 Z}:

7,@*w:+18800 + 18800 +12500 + 9300 + 6250 + 6250

100,000 = 7020 + 7020 + 14060

û131 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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!*[Xgx

( fz~ZÑgqx )

`ZÍw:zgZV$»„»g

`Šzx:fz~ZÑgqxÅZlx)1(�ÛzqZY

)2(ZßwZY

)3(�ÛzqZßwZY

)4(�ÛzqZßwê

û132 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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`ZÍw

fz~ZÑgqx

fz~ZÑgqx»!*[.e$-ZzgzWìŒVZy÷áYZvZ°ÝÃÒÅYñÏāZÐZq-ÜāÅ~7HYnXfz~ZÑgqx»½~pìÇgŠZg1Z˜bÑ<~ZkŒÛRgŠZgùY@*ì�:Âfz~ZÁzn~÷áïƒVZzg:“{5éE]~ЃX)1(

¬:ãCŠ~îg6,fz~ZÑgqxÅzgZV$~Zq-Z%stìā‰|Z]Æ

4,Šq-fz~ZÑgqxzgZV$Æ�7ƒDÉfz~ZÑgqxÆ´z{Z¤/ÃðZzgzZg_7ÂF,āšMZÓw~¦HYñÇXtw|]ih+0U*"$òÔZq-÷áfgzZe$Z0„kñZzgZâxâòZzgZâx÷áwò»ìXŠzuZwtìāfz~ZÑgqxÌZ,„zgZV$Æ�÷6ā“{5éE]ƒ

D÷1Ñotìāfz~ZÁznZzg“{5éE]~ÐÃð¿ñ�Š:ƒOç

)1(Ñ$©0î GEGÑbuZäÔ¦ÑpZ�YãÔ„›6?zgÔm59

qígŠZÅ+B5éGgZŠgZêgÔÑ0¬$++Z�òÔŠZgZ°ÝZ°c*nÔ:Š~²ÔÔ`7Ôm545

û133 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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ZÏßg]~ZŒÛ[ÃÑŒÛ[ÆZßwÆ_.ZyÆŠgxyzgZV$„ÅYñÏX¸w¬xô/™Zx}|]/ñÔZñÔZ0&ŠñÔZ1D{0Z›ZbñZzg�YZ[~Ð|]ZâxZ1�òÔZâx·òÔZzgZâxi�Ûgò»ÝìX)1(

: zgZV$»„»g„»gÆjZáÐŒV&nÆWgZY0*ñYD÷Ô,Šgz

fsì:

ªwtāfz~ZÑgqx~‚g}',Z',Æ�÷ÔŒÛd$zê»Ãð ZÍw:�Ût7X6āZq-èÆzZg_Zk»âZ�ÔâZÏÔâñV{!ÔYÕÔ

{™Æƒ�~',Z',',Z',„HYñÇ 9 ¸�Zzg¸˜g{‰OçÀF,ā

¹Y@*ìXZy|Z]~âb0ŠgZòÔ854øEGI0 ]a³³Ø]Ö³†u³Ü XZy|Z]ÃwòZzgZyÆ•÷áï÷X

ŠzuZwtìāXÅZzÑŠƒZyÅ)ªZßwÅ(o9LÐZyà Šzx:zŠc*YñX6āZq-èÆzZg_ZkÅâZÏZzg¸˜g{ÂâZÏÃèÅe»zªÀâw»ÛŠc*YñÇXZzg¸ÃÇŧbÛŠc*YñÇXtw|]š-ö

IEòÔäztÔhZzgZ1D{ZzgŒ0ic*Šg9+āêZv»

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)1(uZYm43

û134 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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Zy|Z]Æ4,Šq-fz~ZÑgqx~ÌŒÛZ"$»Òp¢zg~ìX6 Îx:ÔZkn ]æÖ³ç]Ÿ…u^ÝeÖãÜ]æÖoefØ āŒÛWy™*~zZãZg÷áŠìX

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Z1-ŠÔZâx·ZzgZâxi�Ûg9+āêZv»ìXZzgZÏ6,Z¦s»:òìXZy

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û135 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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û137 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

Z0›M

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)2(ZßwZY:tfz~ZÑgqxÅŠzu~nìZk~èÆZßw÷áï÷ZyÐ%ZŠ

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û149 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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X ÇZzgt‡kÁì«ßg]ÐÔ®ZŒV74-öEE@ñƻzŠc*YñÇ

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û150 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

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oX:X 74-ö

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ìāNñÆŧbŠz{ï‰X»ÛLLZq-óó0YñÇ�āßg]

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û151 Zsx»‡âÈzgZV$‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰‰ü

ÀF,ā~CÙzZg_»z:z<ÀF,ā

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Ð0ˆXZ[0*õzZázgU*YƉÃeg~ZzgegzZá 40 Š~ozgU*YƉÃ0*õ~¢[Šc*YñXÂZkZ±gÐqgzfsZ°ZŠzÑg‚tWD÷:

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1YñXZzgtw|]ŒòZzgZq-gzZe$Æ_.ZâxZ1-Šò»ÌìX²Z1-ŠòÐ',zZe$5òZq-±ÆZzgZq-±ÅÆ{Å°®w

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ææææÂÂÂÂ××××nnnnääää]]]]ÖÖÖÖËËËËjjjjççççppppFFFFŸŸŸŸÞÞÞÞääää]]]]ÖÖÖÖÇÇÇÇ^ÖÖÖÖggggNNNNMMMM ŠgZêgÔÉÒ›Õä)ZÄB}½§ö

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ÂZkÅÑotìāzÑŠ]Z÷æ]Ü~zZµƒðƒXzŸs#ZkÅtìāèÅzÃ]ÆŠzgZyË)ÆÜÆz�Š»¢Zkßg]~eì²èÅzÃ]ƈzãÜZ÷æ]~)ªbâ{ÆZ0+g(zZµƒYèèÅzÃ]ƈbâ{ЬzÑŠ]Ð¥xƒZāZ`Z§Ü

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„÷Z_:„÷Z_»§i»gtìāÜñÅZzg±»ŠzâV�Ûn™ÆŠzo¯Š~

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LLù·‰óóÐ¥xƒZātLLX¬óóìOçúwÅßg]~zgU*YƉqgzfsFÐX

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