The three partners A, B, and C decided to run a business together. All of them invested Rs. 20000, Rs. 30000 and Rs. 60000 respectively. B is the CEO and he manages all the work. The other two are sleeping partner. If B receives 3000 per month as a fixed salary and the total profit made by all of them was Rs. 1,35,000 in one year, then what was B’s total share of the profit? a. Rs 72,000 b. Rs 65,000 c. Rs 59,000 d. Rs 63,000
Question
The three partners A, B, and C decided to run a business together. All of them invested Rs. 20000, Rs. 30000 and Rs. 60000 respectively. B is the CEO and he manages all the work. The other two are sleeping partner. If B receives 3000 per month as a fixed salary and the total profit made by all of them was Rs. 1,35,000 in one year, then what was B’s total share of the profit?
a. Rs 72,000
b. Rs 65,000
c. Rs 59,000
d. Rs 63,000
Solution
To solve this problem, we first need to understand how the profit is divided among the partners.
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First, we subtract B's salary from the total profit. B's salary is Rs. 3000 per month for 12 months, which equals Rs. 36,000 for the year. The total profit is Rs. 1,35,000. So, the profit left after paying B's salary is Rs. 1,35,000 - Rs. 36,000 = Rs. 99,000.
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This remaining profit is divided among the partners based on their investment. The total investment is Rs. 20,000 (A) + Rs. 30,000 (B) + Rs. 60,000 (C) = Rs. 1,10,000.
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To find out how much each partner gets from the remaining profit, we need to calculate the ratio of their investment to the total investment. For B, this ratio is Rs. 30,000 / Rs. 1,10,000 = 0.2727.
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Multiplying this ratio by the remaining profit gives us B's share of the profit: 0.2727 * Rs. 99,000 = Rs. 27,000.
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Finally, we add B's salary to his share of the profit to get his total share: Rs. 27,000 + Rs. 36,000 = Rs. 63,000.
So, the answer is (d) Rs. 63,000.
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