Discussion of Question with ID = 075 under Partnerships

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P and Q start a business with investments in the ratio 4 : 5. After 3 months, P increases his capital by $1/4$th, and Q increases his capital by $1/5$th. If the profit at the end of 10 months is 208, then what is the share of P?


Rs. 94.


Rs. 194.


Rs. 6.


Rs. 294.

Ans: a

After 3 months, the ratio of their capitals is 5:6. The ratio of money-months of P and Q is ${4 × 3 + 5 × 7}/{5 × 3 + 6 × 7}$, which is $47/57$. Profit of P = $47/{47 + 57}$ × 208 = Rs. 94.

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