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
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.
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