Question

What is the difference between the shares of profits of Rekha and Nutan out of a profit of Rs. 6,000 at the end of the year?
Given Statements Statement I. Rekha invested Rs. 50,000 and withdrew Rs. 1,000 after 4 months.
Statement II. For the last 8 months, Nutan’s capital was 125% of Rekha’s.

• A. If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
• B. If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
• C. If the data either in statement I alone or in statement II alone are sufficient to answer the question.
• D. If the data even in both statements I and II together are not sufficient to answer the question.

Hint:

When determining profit shares, knowing the total investments and time durations for both parties is necessary. Percentages alone may not be sufficient.

Answer 1

The Correct Option is D

- Statement I: Rekha invested Rs. 50,000 and withdrew Rs. 1,000 after 4 months. - This statement gives information about Rekha’s investment but not Nutan's capital, which is needed to calculate the difference in their shares of profit. - Statement II: For the last 8 months, Nutan’s capital was 125% of Rekha’s. - This statement gives information about Nutan’s capital, but without knowing Rekha's actual capital for the entire year, we cannot calculate their profit shares. - Even when combining both statements, we are still lacking the necessary data to calculate the shares of profit (total capital invested and specific durations). Thus, the correct answer is (D).