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elect 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. 25,000RS. 40,000RS. 87,000RS. 12,000RS. 30,000

Question

elect 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. 25,000RS. 40,000RS. 87,000RS. 12,000RS. 30,000

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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.

  1. For the first 4 months, A invested Rs. 90,000 and B invested Rs. 1,20,000.
  2. Then, A added Rs. 10,000 to his investment, making it Rs. 1,00,000 for the remaining 8 months (12 months - 4 months).
  3. Two months after A added to his investment, B withdrew Rs. 20,000 from his investment, making it Rs. 1,00,000 for the remaining 6 months (12 months - 2 months - 4 months).

Now, we calculate the total investment for each person over the year:

A's total investment = (Rs. 90,000 x 4 months) + (Rs. 1,00,000 x 8 months) = Rs. 36,00,000 + Rs. 80,00,000 = Rs. 1,16,00,000

B's total investment = (Rs. 1,20,000 x 6 months) + (Rs. 1,00,000 x 6 months) = Rs. 72,00,000 + Rs. 60,00,000 = Rs. 1,32,00,000

The ratio of A's investment to B's investment is 1,16,00,000 : 1,32,00,000 = 29 : 33

If the total profit is Rs. 1,86,000, then A's share of the profit is (29/62) x Rs. 1,86,000 = Rs. 87,000 and B's share of the profit is (33/62) x Rs. 1,86,000 = Rs. 99,000

The difference in the profit earned by them is Rs. 99,000 - Rs. 87,000 = Rs. 12,000

So, the correct answer is Rs. 12,000.

This problem has been solved

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