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      Question

      A bank charges simple interest for Rs. K at the rate of

      r1/2 for n² years. Another bank charges simple interest for Rs.L at the rate of r3/2  for n³ years and gives the same interest. The ratio between K and L is:
      A 1 Correct Answer Incorrect Answer
      B 2 Correct Answer Incorrect Answer
      C 3 Correct Answer Incorrect Answer
      D 4 Correct Answer Incorrect Answer

      Solution

      ATQ,

      I₁ = K Ɨ (r/2) Ɨ n² /100 Iā‚‚ = L Ɨ (3r/2) Ɨ n³ /100 I₁ = Iā‚‚ ⇒ cancel (r/2) and 100 KĀ·n² = 3LĀ·n³ ⇒ K/L = 3n Ratio K : L = 3n : 1

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