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

E. None of these

Answer: Option E

Solution(By Examveda Team)

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