Select the correct answerA and B invested RS. 90,000 and RS. 1,20,000 in a business after 4 months A invested RS. 10,000 more. After 2 more months B withdraw RS. 20,000. If they earned a total profit of RS. 1,86,000. Find the difference in the profit earned by them.OptionsRS. 40,000RS. 30,000RS. 87,000RS. 25,000RS. 12,000
Question
Select the correct answerA and B invested RS. 90,000 and RS. 1,20,000 in a business after 4 months A invested RS. 10,000 more. After 2 more months B withdraw RS. 20,000. If they earned a total profit of RS. 1,86,000. Find the difference in the profit earned by them.OptionsRS. 40,000RS. 30,000RS. 87,000RS. 25,000RS. 12,000
Solution
To solve this problem, we need to calculate the ratio of their investments, which will be the same as the ratio of their profits.
- For the first 4 months, A invested Rs. 90,000 and B invested Rs. 1,20,000.
- For the next 2 months, A invested Rs. 90,000 + Rs. 10,000 = Rs. 1,00,000 and B still invested Rs. 1,20,000.
- For the rest of the time, A still invested Rs. 1,00,000 and B invested Rs. 1,20,000 - Rs. 20,000 = Rs. 1,00,000.
So, the total investment of A is (4 months * Rs. 90,000) + (2 months * Rs. 1,00,000) + (rest of the time * Rs. 1,00,000) = Rs. 36,00,000 + Rs. 2,00,000 + Rs. 1,00,000 = Rs. 39,00,000.
The total investment of B is (4 months * Rs. 1,20,000) + (2 months * Rs. 1,20,000) + (rest of the time * Rs. 1,00,000) = Rs. 48,00,000 + Rs. 2,40,000 + Rs. 1,00,000 = Rs. 51,40,000.
The ratio of their investments is 39:51.4 = 0.76:1.
If the total profit is Rs. 1,86,000, then the profit of A is 0.76/(0.76+1) * Rs. 1,86,000 = Rs. 86,000 and the profit of B is Rs. 1,86,000 - Rs. 86,000 = Rs. 1,00,000.
So, the difference in the profit earned by them is Rs. 1,00,000 - Rs. 86,000 = Rs. 14,000.
However, this option is not available in the given options. There might be a mistake in the problem or the options.
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