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      Question

      'A' and 'B' started a partnership by investing Rs. 9,000

      and Rs. 12,000 respectively. 25% of the total profit is given to 'A' for managing the business, and the remaining profit is distributed according to their investment. If 'A' received Rs. 6,000 in total as profit, find the total profit.
      A Rs. 10,500 Correct Answer Incorrect Answer
      B Rs. 11,500 Correct Answer Incorrect Answer
      C Rs. 15,500 Correct Answer Incorrect Answer
      D Rs. 13,500 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Ratio of profit share of 'A' to 'B' = 9000:12000 = 3:4 Let the total profit be Rs. 140p So, 0.25 Γ— 140p + (3/7) Γ— 0.75 Γ— 140p = 6,000 Or, 35p + 45p = 6,000 Or, 80p = 6,000 Or, p = 75 Therefore, total profit = 140 Γ— 75 = Rs. 10,500

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