Question

A, B and C start a business each investing Rs 20000. After 5 months A withdrew Rs 5000, B Rs 4000 and C invested Rs 6000 more. At the end of the year a total profit of Rs 69900 was recorded. What is the share of B?

• A. Rs 20500
• B. Rs 21200
• C. Rs 28200
• D. Rs 27300

Answer 1

The Correct Option is C

To find the share of B, we need to determine the ratio of investments by each partner. Let's start by calculating the total investment for each partner throughout the year.

1. Initial Investments:
A, B, and C initially invest Rs 20000 each.

2. Investment Changes after 5 Months:

• A withdrew Rs 5000, so his remaining investment for the next 7 months is Rs 15000.
• B withdrew Rs 4000, so his remaining investment for the next 7 months is Rs 16000.
• C invested an additional Rs 6000, so his investment for the next 7 months is Rs 26000.

3. Calculating Effective Investment:

• A's total contribution: \( (20000 \times 5) + (15000 \times 7) \)
• B's total contribution: \( (20000 \times 5) + (16000 \times 7) \)
• C's total contribution: \( (20000 \times 5) + (26000 \times 7) \)

4. Effective Calculation:

• A: \( 20000 \times 5 + 15000 \times 7 = 100000 + 105000 = 205000 \)
• B: \( 20000 \times 5 + 16000 \times 7 = 100000 + 112000 = 212000 \)
• C: \( 20000 \times 5 + 26000 \times 7 = 100000 + 182000 = 282000 \)

5. Ratio of Investments:
The ratio of A:B:C investments is 205000:212000:282000.

6. Allocating Total Profit Rs 69900:
\( \text{Total ratio} = 205000 + 212000 + 282000 = 699000 \)

B's Share = \( \frac{212000}{699000} \times 69900 = \frac{212000 \times 69900}{699000} \)

B's Share = Rs 28200

Thus, the correct answer is Rs 28200.