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      Question

      Karan and Arjun invested money in a business in the

      ratio 7 : 3, respectively. After 8 months, Karan withdrew 25% of his investment, whereas Arjun increased his investment by 100%. If at the end of 2 years, the profit earned by Arjun was Rs. 28,000 more than that by Karan, then find the total profit earned.
      A Rs. 3,56,000 Correct Answer Incorrect Answer
      B Rs. 3,64,000 Correct Answer Incorrect Answer
      C Rs. 3,60,000 Correct Answer Incorrect Answer
      D Rs. 3,48,000 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let investments be Rs. β€˜7x’ and Rs. β€˜3x’. Ratio of profit shares: = {(7x Γ— 8) + (7x Γ— 3/4 Γ— 16)} : {(3x Γ— 8) + (3x Γ— 2 Γ— 16)} = (56x + 84x) : (24x + 96x) = 140x : 120x = 7 : 6 Let total profit = 13y ATQ: 7y - 6y = 28000 Or, y = 28000 Total profit = 13 Γ— 28000 = Rs. 3,64,000

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