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. 30,000RS. 25,000RS. 87,000RS. 40,000RS. 12,000Finish ClearPrev Next (0)

To solve this problem, we need to calculate the ratio of their investments.

1. For the first 4 months, A invested Rs. 90,000 and B invested Rs. 1,20,000. So, the ratio of their investments for the first 4 months is 90,000:1,20,000 = 3:4.

2. After 4 months, A invested an additional Rs. 10,000, making his total investment Rs. 1,00,000. B's investment remained the same. So, for the next 2 months, the ratio of their investments is 1,00,000:1,20,000 = 5:6.

3. After 2 more months, B withdrew Rs. 20,000, making his total investment Rs. 1,00,000. So, for the remaining time, the ratio of their investments is 1,00,000:1,00,000 = 1:1.

4. To find the total ratio of their investments, we need to multiply the ratio of their investments by the time period for which they invested. For A, this is (34) + (52) + (16) = 12 + 10 + 6 = 28. For B, this is (44) + (62) + (16) = 16 + 12 + 6 = 34.

5. So, the total ratio of their investments is 28:34 = 14:17.

6. The total profit is Rs. 1,86,000. To find the profit earned by A, we multiply the total profit by A's share of the investment. This is (14/31)*1,86,000 = Rs. 84,000.

7. Similarly, to find the profit earned by B, we multiply the total profit by B's share of the investment. This is (17/31)*1,86,000 = Rs. 1,02,000.

8. The difference in the profit earned by them is Rs. 1,02,000 - Rs. 84,000 = Rs. 18,000.

However, this option is not available in the given options. There might be a mistake in the question or the options provided.