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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?Rs.2000Rs.4000Rs.3000Rs.3500

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?Rs.2000Rs.4000Rs.3000Rs.3500

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Solution

To solve this problem, we first need to understand how the profit in a partnership is divided. The profit is divided according to the ratio of their investments.

  1. First, let's find the ratio of A's and B's investments. A's investment is Rs. 20,000 and B's investment is Rs. 40,000. So, the ratio of their investments is 20000:40000, which simplifies to 1:2.

  2. The total profit is Rs. 33,000. A receives Rs. 15,000 as both his salary and profit. So, the remaining profit to be divided according to the investment ratio is 33000 - 15000 = Rs. 18,000.

  3. Now, we divide this remaining profit according to the investment ratio. The total parts of the ratio are 1+2 = 3. A's share of the profit is (1/3) * 18000 = Rs. 6000.

  4. Since A's total income (salary + profit) is Rs. 15,000 and we've just calculated that his profit share is Rs. 6000, we can find his salary by subtracting his profit from his total income. So, A's salary is 15000 - 6000 = Rs. 9000.

The question does not provide an option for Rs. 9000, so it seems there may be an error in the question or the provided options.

This problem has been solved

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