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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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