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

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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.