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      Question

      A and B started a business with initial investments of

      Rs. 13000 and Rs. 20000 respectively. After one year, a profit of Rs. 8250 is earned. A being a working partner gets 28% of the profit for managing the business and rest of the profit is shared between them in the ratio of their investments. A invested his whole profit in a scheme offering 20% compound interest compounded annually. Find the interest earned by A after 2 years.
      A Rs. 2046 Correct Answer Incorrect Answer
      B Rs. 2006 Correct Answer Incorrect Answer
      C Rs. 2040 Correct Answer Incorrect Answer
      D Rs. 2047 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      The ratio of their investments = 13000:20000 = 13:20 Profit share of A for being a working partner = 0.28 ร— 13000 = Rs. 2310 Profit share of A for his investment = 13/33 ร— 0.72 ร— 8250 = Rs. 2340 Total profit of A = Rs. 2340 Compound interest earned by A = 4650{(1 + 0.20)2ย โ€“ 1} = Rs. 2046

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