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      Question

      The difference between compound interest and simple

      interest at rate of 18% per annum for 2 years is Rs. 486. Find the simple interest obtained on same amount for a period of 2 years at rate of 10% per annum.
      A Rs. 2000 Correct Answer Incorrect Answer
      B Rs. 3000 Correct Answer Incorrect Answer
      C Rs. 2400 Correct Answer Incorrect Answer
      D Rs. 1500 Correct Answer Incorrect Answer
      E Rs. 1200 Correct Answer Incorrect Answer

      Solution

      Let, the amount be Rs. P. P[(1 + 18/100)2 – 1] – P Γ— 18% Γ— 2 = 486 P Γ— 0.3924 – P Γ— 0.36 = 486 P Γ— 0.0324 = 486 P = 486 Γ· 0.0324 = Rs. 15000 Therefore, required interest = 15000 Γ— 10% Γ— 2 = Rs. 3000

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