A, B, C and D invest in a business in the ratio 3:6:2:5 respectively.But the capital was utilized in the proportion 5:3:2:6 respectively.What is share of C out of a profit of Rs.33500?
Question
A, B, C and D invest in a business in the ratio 3:6:2:5 respectively.But the capital was utilized in the proportion 5:3:2:6 respectively.What is share of C out of a profit of Rs.33500?
Solution
First, we need to calculate the combined investment ratio of A, B, C, and D. This is done by multiplying the investment ratio by the capital utilization ratio for each person.
For A, the combined ratio is 3 (investment ratio) * 5 (capital utilization ratio) = 15 For B, the combined ratio is 6 * 3 = 18 For C, the combined ratio is 2 * 2 = 4 For D, the combined ratio is 5 * 6 = 30
So, the combined ratio of A:B:C:D is 15:18:4:30.
Next, we need to calculate the total parts in the combined ratio. This is done by adding all the individual parts together.
Total parts = 15 (A's part) + 18 (B's part) + 4 (C's part) + 30 (D's part) = 67 parts
Now, we can calculate C's share of the profit. This is done by dividing C's part by the total parts and then multiplying by the total profit.
C's share = (C's part / total parts) * total profit C's share = (4 / 67) * 33500 = Rs. 2000 approximately.
So, C's share of the profit is approximately Rs. 2000.
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