A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?ARs. 3750BRs. 3000CRs. 3200DRs. 2160
Question
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?ARs. 3750BRs. 3000CRs. 3200DRs. 2160
Solution
The share of each person in a business is proportional to the product of the money they invested and the time for which they invested it.
First, let's calculate the proportion for each person:
- For A, the proportion is 6000 (the amount of money A invested) times 5 (the number of months A invested for), which equals 30000.
- For B, the proportion is 3600 times 6, which equals 21600.
- For C, the proportion is 7500 times 3, which equals 22500.
Next, let's calculate the total proportion, which is the sum of the proportions for A, B, and C. The total proportion is 30000 (for A) + 21600 (for B) + 22500 (for C), which equals 74100.
The share of each person is then their proportion divided by the total proportion, times the total profit.
So, the share of A is (30000 / 74100) * 7410, which equals approximately Rs. 3000.
So, the correct answer is B: Rs. 3000.
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