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CDS 2024 · PYQ · Simple and Compound Interest · easy

If the rate of interest is 5%, then what would be the difference between compound interest and simple interest received on ₹ 10,000 (each) after 3 years from now ?

  1. A.₹ 175·25
  2. B.₹ 152·25✓ Correct
  3. C.₹ 76·25
  4. D.₹ 24·25

Explanation

SI = 10000 × 5 × 3/100 = ₹1500. CI = 10000 × [(1.05)³ − 1] = 10000 × (1.157625 − 1) = 10000 × 0.157625 = ₹1576.25. Difference = 1576.25 − 1500 = ₹76.25. Wait, that gives option (c). Re-examining: CI − SI for 3 years at 5% on ₹10000 = 10000 × [(1.05)³ − 1 − 0.15] = 10000 × 0.007625 = ₹76.25. The correct answer is ₹76.25 (option c).
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