Multiple choice

A certain sum of simple interest amounts to Rs. 1350 in 5 years and to Rs. 1620 in 8 years. What is the sum?

  1. Rs. 700

  2. Rs. 800

  3. Rs. 900

  4. Rs. 1000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let principal = P and simple interest rate = R% per annum. Amount after 5 years = P + 5PR/100 = 1350. Amount after 8 years = P + 8PR/100 = 1620. The difference of 3 years gives interest: 1620 - 1350 = 270, so 3PR/100 = 270, meaning PR/100 = 90 per year. From 5-year amount: P + 5(90) = 1350, so P = 1350 - 450 = 900. Option A (Rs. 700) would give different amounts. Option B (Rs. 800) would give 800 + 450 = 1250 (not 1350). Option D (Rs. 1000) would give 1000 + 450 = 1450.

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