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      Question

      Rohit invested a sum on compound interest at 'R%' per

      annum (compounded annually), which amounts to ₹8,000 and ₹11,520 in 2 years and 4 years respectively. Find the value of 'R'.
      A 40 Correct Answer Incorrect Answer
      B 10 Correct Answer Incorrect Answer
      C 20 Correct Answer Incorrect Answer
      D 25 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      So, Principal × [1 + (rate/100)]⁴ = 11,520 ---- (I)
      And, Principal × [1 + (rate/100)]² = 8,000 ---- (II)
      On dividing equation I and II,
      We get, [1 + (rate/100)]² = (11,520 ÷ 8,000)
      Or, [1 + (rate/100)]² = 1.44
      Or, [1 + (rate/100)]² = (1.2)²
      Or, 1 + (rate/100) = 1.2
      Or, (rate/100) = 0.2
      Or, rate = 20%
      So, 'R' = 20

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