Multiple choice

A sum of money becomes 3 times in 5 years at simple interest. In how many years will the same sum become 6 times at the same rate of simple interest?

  1. 10 years

  2. 12 years

  3. 12.5 years

  4. 10.5 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Simple interest: Amount = P + SI. 3P = P + SI, so SI = 2P in 5 years. Rate R = (2P * 100) / (P * 5) = 40%. To become 6 times, SI = 5P. Time = (5P * 100) / (P * 40) = 12.5 years.

AI explanation

If a sum becomes 3 times, the interest earned is 2 times the principal, meaning 2P equals P times R times 5 divided by 100, so the rate is 40%. For the sum to become 6 times, the interest must be 5 times the principal, so 5P equals P times 40 times the time divided by 100. Solving this gives time = 500 divided by 40, which is 12.5 years.

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