Q 15. A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the

starting of the business?

C. Rs. 9500

A. Rs. 7500

B. Rs. 9000

D. Rs. 10,000

To find B's share in the total profit, we need to calculate the ratio of their investments considering the time for which the investments were made.

1. **Step 1: Calculate the time-weighted investment for each partner.**
   - **A's investment**: Rs. 20,000 for 2 years (24 months).
     \[
     20,000 \times 24 = 480,000 \text{ investment-months}
     \]
   - **B's investment**: Rs. 15,000 for 2 years (24 months).
     \[
     15,000 \times 24 = 360,000 \text{ investment-months}
     \]
   - **C's investment**: Rs. 20,000 for 1.5 years (18 months) as C joined after 6 months.
     \[
     20,000 \times 18 = 360,000 \text{ investment-months}
     \]

2. **Step 2: Find the total investment ratios.**
   - A : B : C = 480,000 : 360,000 : 360,000
   - Simplifying the ratio:
     \[
     A : B : C = 4 : 3 : 3
     \]

3. **Step 3: Calculate B's share in the total profit.**
   - Total profit = Rs. 25,000
   - B's share of the profit:
     \[
     \frac{3}{4 + 3 + 3} \times 25,000 = \frac{3}{10} \times 25,000 = 7,500
     \]

Thus, B's share in the total profit is **Rs. 7,500**.

### Answer:
**A. Rs. 7,500**

Would you like more details or have any questions?

### Related Questions:
1. How do you calculate investment ratios in partnership problems?
2. What is time-weighted investment in partnership?
3. How would B's share change if C had invested more?
4. What happens if the partnership had a different profit distribution rule?
5. How do different time periods affect profit-sharing ratios?

### Tip:
Always factor in both the amount of investment and the duration when calculating partnership profit-sharing ratios.

A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business? C. Rs. 9500 A. Rs. 7500 B. Rs. 9000 D. Rs. 10,000

Learn how to calculate B's share in a partnership's profit using time-weighted investments. In this problem, A, B, and C invest different amounts over varying periods. The solution demonstrates how to apply profit-sharing formulas to distribute Rs. 25,000 profit. Suitable for Grades 8-10.

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