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### Question

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?

**A**

Rs. 94.

**B**

Rs. 194.

**C**

Rs. 6.

**D**

Rs. 294.

**Soln.**

**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.