A, B and C invest Rs. 4000, 5000 and 6000 respectively in a business and A gets 25% of profit for managing the business, the rest of the profit is divided by A, B and C in proportion to their investment. If in a year, A gets Rs. 200 less than B & C together, what was the total profit for that year?OptionsRs. 1500Rs. 1700Rs.2500Rs. 2000
Question
A, B and C invest Rs. 4000, 5000 and 6000 respectively in a business and A gets 25% of profit for managing the business, the rest of the profit is divided by A, B and C in proportion to their investment. If in a year, A gets Rs. 200 less than B & C together, what was the total profit for that year?OptionsRs. 1500Rs. 1700Rs.2500Rs. 2000
Solution
Let's solve this step by step:
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The total investment is Rs. 4000 (A) + Rs. 5000 (B) + Rs. 6000 (C) = Rs. 15000.
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A gets 25% of the total profit for managing the business. Let's denote the total profit as P. So, A gets 0.25P for managing the business.
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The rest of the profit, which is 75% of P (or 0.75P), is divided among A, B, and C in proportion to their investments. So, A gets an additional (4000/15000)*0.75P = 0.2P, B gets (5000/15000)*0.75P = 0.25P, and C gets (6000/15000)*0.75P = 0.3P.
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According to the problem, A gets Rs. 200 less than B and C together. So, we can write the equation: 0.25P + 0.2P = 0.25P + 0.3P + Rs. 200. Simplifying this, we get P = Rs. 2000.
So, the total profit for that year was Rs. 2000.
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