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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. 56,000RS. 64,000RS. 60000RS. 70000RS. 68,000

Question

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. 56,000RS. 64,000RS. 60000RS. 70000RS. 68,000

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Solution

First, let's find out the total amount of money invested by A, B, and C.

The total amount invested is Rs. 4,60,000 and the ratio of their investments is 3:4:5.

So, the total parts of the ratio is 3+4+5 = 12 parts.

Now, let's find out the value of each part.

Each part is worth Rs. 4,60,000 / 12 = Rs. 38,500.

So, the amount invested by B is 4 parts * Rs. 38,500 = Rs. 1,54,000.

The total profit earned is 40% of the total investment, which is 40/100 * Rs. 4,60,000 = Rs. 1,84,000.

The ratio of the time period for which they invested is 5:4:3.

So, the total parts of the time ratio is 5+4+3 = 12 parts.

The profit is divided according to the ratio of their investment and the time period for which they invested.

So, the share of B in the profit is (4 parts of investment * 4 parts of time / 12 parts of investment * 12 parts of time) * total profit.

= (16 / 144) * Rs. 1,84,000 = Rs. 64,000.

So, the profit received by B is Rs. 64,000.

Therefore, the correct option is RS. 64,000.

This problem has been solved

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