Select the correct answerA and B entered in to a partnership with investments of Rs. 15000 and Rs. 40000 respectively. After 3 months A left from the business, at the same time C joins with Rs. 30000, At the end of 9 months they got Rs. 7800 as profit. Find the share of B?OptionsRs. 6000Rs. 4800Rs. 7400Rs. 1720
Question
Select the correct answerA and B entered in to a partnership with investments of Rs. 15000 and Rs. 40000 respectively. After 3 months A left from the business, at the same time C joins with Rs. 30000, At the end of 9 months they got Rs. 7800 as profit. Find the share of B?OptionsRs. 6000Rs. 4800Rs. 7400Rs. 1720
Solution
The profit in a partnership is divided in the ratio of the product of the investment and the time period for each partner.
- A's investment was Rs. 15000 and he was in the business for 3 months. So, A's share = 15000 * 3 = 45000
- B's investment was Rs. 40000 and he was in the business for the entire 9 months. So, B's share = 40000 * 9 = 360000
- C's investment was Rs. 30000 and he was in the business for the remaining 6 months (after A left). So, C's share = 30000 * 6 = 180000
The total share is 45000 (A's share) + 360000 (B's share) + 180000 (C's share) = 585000
The profit was Rs. 7800. So, the share of each partner will be their share of the total share multiplied by the profit.
B's share of the profit = (B's share / total share) * profit = (360000 / 585000) * 7800 = Rs. 4800
So, the correct answer is Rs. 4800.
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