Multiple choice

If Rs 80 amounts to Rs 140 in 4 years, what will Rs 96 amount to in 10 years at the same rate of interest per annum?

  1. Rs 276

  2. Rs 306

  3. Rs 386

  4. Rs 300
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Interest on 80 in 4 years is 140 - 80 = 60. Rate = (60 * 100) / (80 * 4) = 6000 / 320 = 18.75%. For 96 in 10 years, SI = (96 * 18.75 * 10) / 100 = 180. Amount = 96 + 180 = 276.

AI explanation

First, find the simple interest on Rs 80 for 4 years, which is 140 - 80 = Rs 60. Using the formula Rate = (100 * Simple Interest) / (Principal * Time), the rate is (100 * 60) / (80 * 4) = 18.75% per annum. Now, apply this rate to find the amount for Rs 96 in 10 years: Interest = (96 * 18.75 * 10) / 100 = Rs 180. The total amount is the sum of the principal and the interest, 96 + 180 = Rs 276.

Keep practicing — related questions