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
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.
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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.
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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.
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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.
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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.
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