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?

Answer: Option E

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