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P and Q started a business in the ratio of 2 : 3. After 1 year P left the business but Q continues. After 2 years he had profit of Rs. 26000. What is the profit of Q?

A. Rs. 10400 B. Rs. 13000 C. Rs. 15600 D. None of these Answer: Option D
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Solution(By Apex Team)

Let the initial capital of P and Q be Rs. 2x and Rs. 3x respectively Then, ratio of profits $\begin{array}{l} =(2 x \times 12):(3 x \times 24) \\ =24 x: 72 x \\ =1: 3 \\ \therefore \text { Q’s share } \end{array}$ $\begin{aligned}&=\text{ Rs. }\left(26000\times\frac{3}{4}\right)\\ &=\text{ Rs. }19500\end{aligned}$

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