Question

Amit started a business by investing rs. 30,000. Rahul joined the business after some time and invested rs. 20,000. At the end of the year, profit was divided in the ratio of 2 : 1. After how many months did rahul join the business

Answer 1

THANKS FOR THE QUESTION !

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ANS :

....................... 3 MONTHS .....................

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GIVEN :

=> AMIT STARTED A BUSINESS :

=> WITH RS 30,000

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RAHUL INVESTED RS :

=> 20,000

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AT THE END OF YR :

=> PROFIT :

=> 2 : 1

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THE RATIO OF INVESTMENT :

=> INVESTMENT OF AMIT / INVESTMENT OF RAHUL

=> 30,000 / 20,000

=> 3 / 2

=> 3 : 2

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TO FIND :

=> THE MONTHS AFTER WHICH RAHUL JOINED

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FORMULA :

=> RATIO OF INVESTMENT :

=> RATIO OF PROFIT / RATIO OF INVESTMENT

=> 2 : 1 / 3 : 2

=> ( 2 / 1 ) / ( 3 / 2 )

=> 2 / 1 * 2 / 3

=> 4 / 3

=> 4 : 3

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LET,

=> X BE THE COMMON MULTIPLE OF THIS RATIO

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TIME PERIOD OF AMIT :

=> 4 * X

=> 4X MONTHS

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TIME PERIOD OF INVESTMENT OF RAHUL :

=> 3 * X

=> 3X MONTHS

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THE PROFIT AND INVESTMENT WAS OF 1 YR

=> AMIT STARTED THE BUSINESS :

SO ,

=> HE WAS AN INVESTOR FOR THE WHOLE YR

=> 4X = 12 MONTHS

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PERIOD OF INVESTMENT OF RAHUL :

=> RAHUL'S PERIOD OF INVESTMENT * 12 MONTHS / AMIT'S PERIOD OF INVESTMENT

=> 3X * 12 / 4X MONTHS

=> 9 MONTHS

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THE MONTHS AFTER WHICH RAHUL JOINED AMIT :

=> PERIOD OF INVESTMENT OF AMIT - PERIOD OF INVESTMENT OF RAHUL

=> 12 MONTHS - 9 MONTHS

=> 3 MONTHS

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=> RAHUL JOINED AMIT AFTER 3 MONTHS :

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HOPE IT WILL HELP U .....

THANKS AGAIN......

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