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      Question

      A and B initiated a business by

      investing Rs. 6,000 and Rs. 3,000, respectively. Their investments were made for 8 months and 'm' months, respectively. If A's share of the profit is Rs. 4,800 out of a total profit of Rs. 6,300, determine the value of 'm'.
      A 5 Correct Answer Incorrect Answer
      B 12 Correct Answer Incorrect Answer
      C 8 Correct Answer Incorrect Answer
      D 2 Correct Answer Incorrect Answer

      Solution

      ATQ, Ratio of profit shares of A and B = (6000 Γ— 8):(3000 Γ— m) = 48000:3000m = 16:m ATQ; (16/16+m) = 4800/6300 or, [16/(16+m)] = 16/21 or, 16 Γ— (16 + m) = 16 Γ— 21 or, 256 + 16m = 336 Or, 16m = 80 or, m = 5

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