Question

Amar, Bakshi and Chetan together invest ` 24,000 in a business. What is the profit share of Bakshi?
Statement 1: The ratio of investments of Amar, Bakshi and Chetan is 4 : 6 : 9
Statement 2: Ratio of their profits is equal to the ratio of their investments

• A. statement (1) alone is sufficient to answer the question
• B. statement (2) alone is sufficient to answer the question
• C. both the statements together are needed to answer the question
• D. statement (1) alone or statement (2) alone is sufficient to answer the question
• E. neither statement (1) nor statement (2) suffices to answer the question

Answer 1

Answer: (E)

To determine the profit share of Bakshi, we need to evaluate the information given in both statements:

1. Statement 1: The ratio of investments of Amar, Bakshi, and Chetan is 4:6:9.
2. Statement 2: The ratio of their profits is equal to the ratio of their investments. 

Let's analyze each statement individually:

Using Statement 1 alone:

• We have the investment ratio as \(4:6:9\).
• Let their investments be \(4x\), \(6x\), and \(9x\) respectively.
• Total investment is \(4x + 6x + 9x = 19x\).
• We are given the total investment is \(24,000\).
• Setting up the equation: \(19x = 24,000\)
• Solving for \(x\):
• \(x = \frac{24,000}{19}\)
• We can calculate the exact amount each person invested, but without knowing the profit, we cannot determine profit shares.

Using Statement 2 alone:

• We know the profit shares are distributed in the same ratio as their investments.

To calculate Bakshi's profit share, we need both the total profit amount and the individual investments, none of which are given directly in either statement.

Both statements together do not provide additional information about the total profit. Therefore, the only logical conclusion is:

Correct Answer: Neither statement (1) nor statement (2) suffices to answer the question.