Final answer:
B's share in the total profit of Rs. 25,000 is Rs. 7,500. This is determined by calculating the capital months for each partner and then finding B's proportionate share of the total profit.
Step-by-step explanation:
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. To calculate B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business, we need to take into account the time each partner's money was invested in the business, as this will impact their share of the profits.
Their investments can be converted into capital months, which is the amount of investment multiplied by the number of months it was invested. A invested Rs. 20,000 for 24 months, B invested Rs. 15,000 for 24 months, and C invested Rs. 20,000 for 18 months (since C joined six months later). Therefore, the capital months are:
- A: Rs. 20,000 x 24 = Rs. 480,000
- B: Rs. 15,000 x 24 = Rs. 360,000
- C: Rs. 20,000 x 18 = Rs. 360,000
Next, we sum up the capital months: Rs. 480,000 + Rs. 360,000 + Rs. 360,000 = Rs. 1,200,000. Now we find the proportion of each partner's investment to this total. B's share is Rs. 360,000 out of Rs. 1,200,000. To find B's share of the total profit, we multiply the total profit by B's proportion:
B's share of profit = Rs. 25,000 x (Rs. 360,000 / Rs. 1,200,000) = Rs. 7,500.
Therefore, B's share in the total profit of Rs. 25,000 is Rs. 7,500.