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      Question

      Ashish, Amit and Atul started a business by investing

      Rs. 8,000, Rs. 10,000, and Rs. 24,000, respectively. The ratio of number of months for which Ashish, Amit and Atul kept their money invested was 4:3:2, respectively. Ashish is also entitled to receive a total of Rs. 30,000 out of gross profit for his services as a manager and rest of the profit is divided among Ashish, Amit and Atul in the ratio of their investments. If the business made a profit of Rs. 1,40,000, then find the profit share received by Amit.
      A Rs. 35,000 Correct Answer Incorrect Answer
      B Rs. 32,000 Correct Answer Incorrect Answer
      C Rs. 33,000 Correct Answer Incorrect Answer
      D Rs. 39,000 Correct Answer Incorrect Answer
      E Rs. 30,000 Correct Answer Incorrect Answer

      Solution

      Let the number of months for which Ashish, Amit and Atul invested their money be ‘4x’ months, ‘3x’ months and ‘2x’ months, respectively. So, ratio of profit shares of Ashish, Amit and Atul = (8000 × 4x):(10000 × 3x):(24000 × 2x) = 16:15:24 Total distributable profit =1,40,000 – 30000 = Rs. 1,10,000 ATQ: So, share of Amit = 1,10,000 × {15x/(15x + 16x + 24x)} = Rs. 30,000

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