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      Question

      Sandeep borrowed Rs. 20,000 from his friend at compound

      interest of 20% p.a., compounding annually. He added Rs. 'K' to this money and lent the total sum to Raj at simple interest of 10% p.a. for 2 years. If total profit earned by Sandeep at the end of 2 years is Rs. 1,200, then find the value of 'K'.
      A 20000 Correct Answer Incorrect Answer
      B 30000 Correct Answer Incorrect Answer
      C 25000 Correct Answer Incorrect Answer
      D 35000 Correct Answer Incorrect Answer
      E 40000 Correct Answer Incorrect Answer

      Solution

      Interest to be paid by Sandeep = 20000 Γ— {(1.2)Β² βˆ’ 1} = Rs. 8,800 So, interest earned by Sandeep = 8800 + 1200 = Rs. 10,000 So, 10000 = {(K + 20000) Γ— 10 Γ— 2} Γ· 100 Or, 100000 = 2K + 40000 Or, 2K = 60000 So, K = 30000

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