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      Question

      A certain sum of money yields Rs. 9,930 as compound

      interest for 3 years at 10% per annum. The sum is (in rupees).
      A 39,000 Correct Answer Incorrect Answer
      B 48,400 Correct Answer Incorrect Answer
      C 57,500 Correct Answer Incorrect Answer
      D 30,000 Correct Answer Incorrect Answer

      Solution

      Let the principal be Rs. x, Now, CI = P [ ( 1 + R/100 )ᵀ - 1 ] ⇒ 9930 = x [ ( 1 + 10/100  )³ - 1 ] ⇒ 9930 = x ( 1331/1,000 - 1 ) ⇒ 9930 = x ( (1331 - 1000)/1000 ) = 331/1000 x x = (9930 × 1,000)/331 = Rs. 30,000

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