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1. 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. Rs. 18500

Solution:

Let the initial capital of P and Q be Rs. 2x and Rs. 3x respectively
Then, ratio of profits

\begin{aligned} = (2 x \times 12) : (3 x \times 24) \\ = 24 x : 72 x \\ = 1 : 3 \\ ∴ Q's share \\ = Rs . (26000 \times \frac{3}{4}) \\ = Rs. 19500 \end{aligned}

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