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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. 12,000

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

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Solution

To solve this problem, let's break it down step by step:

  1. Calculate the total investment of A and B: A's initial investment = RS. 90,000 B's initial investment = RS. 1,20,000 Total initial investment = RS. 90,000 + RS. 1,20,000 = RS. 2,10,000

  2. Determine the additional investment made by A after 4 months: A's additional investment = RS. 10,000

  3. Calculate the total investment of A after the additional investment: A's total investment = A's initial investment + A's additional investment = RS. 90,000 + RS. 10,000 = RS. 1,00,000

  4. Determine the time period for which B remained invested: B remained invested for a total of 6 months (4 months initially + 2 months after A's additional investment)

  5. Calculate the total investment of B after 6 months: B's total investment = B's initial investment - B's withdrawal = RS. 1,20,000 - RS. 20,000 = RS. 1,00,000

  6. Calculate the profit earned by A and B: A's profit = (A's total investment / Total investment) * Total profit = (RS. 1,00,000 / RS. 2,10,000) * RS. 1,86,000 = RS. 88,571.43 (approx.)

    B's profit = (B's total investment / Total investment) * Total profit = (RS. 1,00,000 / RS. 2,10,000) * RS. 1,86,000 = RS. 88,571.43 (approx.)

  7. Calculate the difference in profit earned by A and B: Difference in profit = A's profit - B's profit = RS. 88,571.43 - RS. 88,571.43 = RS. 0

Therefore, the difference in the profit earned by A and B is RS. 0.

This problem has been solved

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