A and B enter into a partnership with respective capitals of Rs.20,000 and Rs.40,000. At the end of the year, the total profit is Rs.33,000. If A receives Rs.15,000 as both his salary and profit,then what is his salary?
Question
A and B enter into a partnership with respective capitals of Rs.20,000 and Rs.40,000. At the end of the year, the total profit is Rs.33,000. If A receives Rs.15,000 as both his salary and profit,then what is his salary?
Solution
To solve this problem, we need to first understand how the profit in a partnership is divided. The profit is divided in the ratio of their investments.
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The ratio of A's and B's investments is 20000:40000, which simplifies to 1:2.
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The total profit is Rs.33,000. Out of this, A receives Rs.15,000 as both his salary and profit.
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Now, we need to find out how much of the Rs.15,000 is A's profit (which is based on his investment) and how much is his salary.
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The total profit of Rs.33,000 is divided between A and B in the ratio of their investments, i.e., 1:2. So, A's share of the profit is 1/3 of the total profit, which is Rs.11,000 (33000 * 1/3).
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Since A receives Rs.15,000 in total (salary + profit), and we've determined that Rs.11,000 of this is his share of the profit, the remaining amount must be his salary.
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Therefore, A's salary is Rs.15,000 - Rs.11,000 = Rs.4,000.
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