The question consists of two statements numbered "I and II" given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. What is the profit share of B out of a total profit of Rs. 12,000? Statement I: The ratio of the investments of A and B is 3:5, and both invested for the same time period. Statement II: The investment of B is Rs. 4,000 more than that of
A.

Let the profit share of B be Rs. 'P'. Statement I: The ratio of the investments of A and B is 3 : 5, and both invested for the same time period. Since the time period is the same, the ratio of their profit shares is also 3 : 5. So, profit share of B = 12000 × (5 / 8). Or, profit share of B = Rs. 7,500. So, data in statement I alone is sufficient to answer the question. Statement II: The investment of B is Rs. 4,000 more than that of A. Since the actual investments and the time periods are not known, we cannot determine the ratio of their profit shares. So, data in statement II alone is not sufficient to answer the question. Hence, the correct answer is A.