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?Rs.4000Rs.2000Rs.1000Rs.1500
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?Rs.4000Rs.2000Rs.1000Rs.1500
Solution 1
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
The total combined ratio is 15 + 18 + 4 + 30 = 67
Now, to find the share of C, we divide C's combined ratio by the total combined ratio and multiply by the total profit.
So, C's share = (4/67) * 33500 = Rs.2000
Therefore, the share of C out of a profit of Rs.33500 is Rs.2000.
Solution 2
First, we need to calculate the combined investment ratio of A, B, C, and D. This is done by multiplying their investment ratio by the capital utilization ratio.
For A, it's 3 (investment ratio) * 5 (capital utilization ratio) = 15 For B, it's 6 * 3 = 18 For C, it's 2 * 2 = 4 For D, it's 5 * 6 = 30
So, the combined ratio of A, B, C, and D is 15:18:4:30.
Next, we need to calculate the total parts in the ratio. This is done by adding all the individual parts together.
15 (A's part) + 18 (B's part) + 4 (C's part) + 30 (D's part) = 67 parts
Now, we need to find out how much 1 part is worth. This is done by dividing the total profit by the total parts.
Rs. 33500 (total profit) / 67 (total parts) = Rs. 500. This means 1 part is worth Rs. 500.
Finally, to find out C's share of the profit, we multiply C's part in the ratio by the value of 1 part.
4 (C's part) * Rs. 500 (value of 1 part) = Rs. 2000
So, C's share of the profit is Rs. 2000.
Solution 3
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
The total combined ratio is 15 + 18 + 4 + 30 = 67
The share of each person is calculated by dividing their combined ratio by the total combined ratio and then multiplying by the total profit.
So, the share of C is (4/67) * 33500 = Rs.2000
Therefore, the share of C out of a profit of Rs.33500 is Rs.2000.
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