A, B and C invested their money in the ratio 3: 4: 5 respectively. The total amount invested by them was RS. 4,60, 000 and the profit earned was 40% of the amount invested. If they invested for the time period in the ratio 5: 4: 3. Then what was the profit received by B?OptionsRS. 56,000RS. 60000RS. 70000RS. 64,000RS. 68,000
Question
A, B and C invested their money in the ratio 3: 4: 5 respectively. The total amount invested by them was RS. 4,60, 000 and the profit earned was 40% of the amount invested. If they invested for the time period in the ratio 5: 4: 3. Then what was the profit received by B?OptionsRS. 56,000RS. 60000RS. 70000RS. 64,000RS. 68,000
Solution
First, let's find out the individual investment of A, B, and C.
The total ratio of their investment is 3+4+5 = 12.
So, the individual investment of A = (3/12) * 4,60,000 = Rs. 1,15,000 The individual investment of B = (4/12) * 4,60,000 = Rs. 1,53,333.33 The individual investment of C = (5/12) * 4,60,000 = Rs. 1,91,666.67
The total profit earned was 40% of the total investment, which is 40/100 * 4,60,000 = Rs. 1,84,000
Now, let's find out the individual share of profit for A, B, and C.
The total ratio of their time period is 5+4+3 = 12.
So, the individual share of profit for A = (5/12) * 1,84,000 = Rs. 76,666.67 The individual share of profit for B = (4/12) * 1,84,000 = Rs. 61,333.33 The individual share of profit for C = (3/12) * 1,84,000 = Rs. 46,000
Therefore, the profit received by B is Rs. 61,333.33. However, this option is not available in the given options. There might be a mistake in the question or the options provided.
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