Multiple choice

A sum of Rs.36,000 is divided into two parts, A and B, such that the simple interest at the rate of 15% p.a. on A and B after two years and four years, respectively, is equal. The total interest (in Rs.) received from A is:

  1. 6600

  2. 7200

  3. 2670

  4. 3600
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B Correct answer
Explanation

Let A and B be the two parts. SI on A for 2 years at 15% = (A × 15 × 2)/100 = 0.3A. SI on B for 4 years at 15% = (B × 15 × 4)/100 = 0.6B. Given 0.3A = 0.6B, so A = 2B. Also A + B = 36000. Substituting: 2B + B = 36000, B = 12000, A = 24000. Interest from A = 0.3 × 24000 = 7200.

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