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      Question

      Amit and Rohit started a business by investing in the

      ratio 4 : 3, respectively. After 8 months, Amit withdrew 25% of his investment, whereas Rohit increased his investment by 50%. If at the end of 2 years, the profit earned by Amit was Rs. 20,000 more than that by Rohit, then find the total profit earned by the business.
      A Rs. 2,20,000 Correct Answer Incorrect Answer
      B Rs. 2,00,000 Correct Answer Incorrect Answer
      C Rs. 2,10,000 Correct Answer Incorrect Answer
      D Rs. 2,30,000 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the amount invested by Amit and Rohit be Rs. ‘4x’ and Rs. ‘3x’, respectively. Ratio of profit shares: = {(4x × 8) + (4x × 3/4 × 16)} : {(3x × 8) + (3x × 3/2 × 16)} = (32x + 48x) : (24x + 72x) = 80x : 96x = 5 : 6 Let total profit = 11y ATQ: 6y - 5y = 20000  Or, y = 20000 Total profit = 11 × 20000 = Rs. 2,20,000

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