Multiple choice

The simple interest on a sum of money for 3 years at 10% per annum is ₹1,500. What will be the compound interest on the same sum for the same period and at the same rate?

  1. ₹1,550

  2. ₹1,600

  3. ₹1,655

  4. ₹1,725

  5. ₹1,800

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

SI = P * R * T / 100 = 1500. P * 10 * 3 / 100 = 1500, so P = 5000. CI = P(1 + R/100)^T - P = 5000(1.1)^3 - 5000 = 5000(1.331) - 5000 = 6655 - 5000 = 1655.

AI explanation

Using the Simple Interest formula, the principal is found by calculating 1,500 times 100 divided by the product of 3 and 10, which gives a principal of 5,000. Applying the Compound Interest formula for 3 years at 10 percent, the total amount is 5,000 times 1.1 cubed, which equals 6,655. Subtracting the principal of 5,000 from this amount gives a compound interest of 1,655.