A and B are partners in a business. A
invested 1/4 of the capital for 15
months and B received 5/9 of the
profit. For how long B was in the
business
Answers
Answer:
10 months
A's contribution of capital = 1/4
∴ B's contribution of capital = 3/4
Now,
Capitals ratio :: Profit sharing ratio
Let B's money was used for x months.
rightwards double arrow space space 1 fourth space cross times space 15 space colon thin space straight x space cross times space 3 over 4 space colon thin space colon thin space open parentheses 1 minus 2 over 3 close parentheses space colon space 2 over 3
rightwards double arrow space space space space 15 over 4 space colon space fraction numerator 3 straight x over denominator 4 end fraction space space colon thin space colon thin space 1 third space colon space 2 over 3
rightwards double arrow space space space space space space 15 space colon space 3 straight x space space colon thin space colon thin space space 1 space colon space 2
therefore space space space 3 straight x space space equals space 30
rightwards double arrow space space space straight x space equals space 30 over 3 space equals space 10 space months
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