Multiple choice

Shyam invested a certain sum of money at 10% p.a. simple interest for some number of years. At the end of the duration, Shyam received 4 times the original investment. Find the number of years.

  1. 3 years

  2. 10 years

  3. 25 years

  4. 30 years

  5. 5 years

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Simple interest I = A - P = 4P - P = 3P. Formula: 3P = P * R * T / 100. 3 = 10 * T / 100. 3 = T / 10, so T = 30 years.

AI explanation

Since the amount received is 4 times the principal, the total simple interest earned is 3 times the principal. Let P be the principal; the simple interest formula is I = (P * R * T) / 100. Substituting the values gives 3P = (P * 10 * T) / 100, which means 3 = T / 10. Solving for T gives 30 years.