Select the correct answerA, 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. 60000RS. 56,000RS. 70000RS. 64,000RS. 68,000
Question
Select the correct answerA, 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. 60000RS. 56,000RS. 70000RS. 64,000RS. 68,000
Solution
To solve this problem, we need to understand that the profit is divided based on the amount of money invested and the time period of investment.
Step 1: Calculate the total investment and profit The total investment is Rs. 4,60,000 and the profit is 40% of this amount, which is Rs. 1,84,000.
Step 2: Calculate the share of each person in the investment The ratio of investment is 3:4:5. So, the total ratio is 3+4+5 = 12. The share of A in the investment is (3/12)*4,60,000 = Rs. 1,15,000. The share of B in the investment is (4/12)*4,60,000 = Rs. 1,53,333.33. The share of C in the investment is (5/12)*4,60,000 = Rs. 1,91,666.67.
Step 3: Calculate the share of each person in the time period The ratio of time period is 5:4:3. So, the total ratio is 5+4+3 = 12. The share of A in the time period is 5/12. The share of B in the time period is 4/12. The share of C in the time period is 3/12.
Step 4: Calculate the profit received by each person The profit received by a person is proportional to the product of the money invested and the time period of investment. The profit received by B = (Investment by B * Time period of B / Total investment * Total time period) * Total profit = (Rs. 1,53,333.33 * 4/12) / (Rs. 4,60,000 * 1) * Rs. 1,84,000 = Rs. 56,000
So, the correct answer is RS. 56,000.
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