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      Question

      Rs. 1600 is invested at 5% p.a. on simple interest,

      while Rs. (1600 – A) is invested at 10% p.a. on compound interest. If the difference between total compound interest and total simple interest after two years is Rs. 134, then find ‘A’. (Compound interest > simple interest).
      A 430 Correct Answer Incorrect Answer
      B 300 Correct Answer Incorrect Answer
      C 540 Correct Answer Incorrect Answer
      D 200 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, S.I at 5% p.a. for 2 years = 10% of principal = 0.10 × 1600 = 160 C.I at 10% p.a. for 2 years = 21% of principal = 0.21 × (1600 – A) = 336 – 0.21A Given (CI – SI) = 134, 336 – 0.21A – 160 = 134 176 – 0.21A = 134 0.21A = 42 A = 42 / 0.21 = 200

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