Multiple choice

A sum at a certain rate of simple interest becomes Rs. 14880 after 3 years and Rs. 16800 after 5 years. Find the simple interest on the same sum at 10% per annum for 4 years (in Rs.).

  1. 4800

  2. 4500

  3. 4740

  4. 4860
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A Correct answer
Explanation

The interest for 2 years (5-3) is Rs. 16800 - 14880 = Rs. 1920, so annual interest is Rs. 960. Principal = 14880 - (3 × 960) = Rs. 12000. At 10% for 4 years: SI = 12000 × 10 × 4 / 100 = Rs. 4800. Key insight: find annual interest from the difference between the two amounts, then back-calculate principal.

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