Multiple choice

If the rate of interest be 4% per annum for first year, 5% per annum for second year, and 6% per annum for third year, then what is the compound interest on Rs.10000 for 3 years ?

  1. Rs.1545.20

  2. Rs.1555.20

  3. Rs.1565.20

  4. Rs.1575.20

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

Amount = 10000 * (1.04) * (1.05) * (1.06) = 10000 * 1.15752 = 11575.20. Interest = 11575.20 - 10000 = 1575.20.

AI explanation

For variable compound interest, the final amount equals the principal multiplied by (1 + R1/100) multiplied by (1 + R2/100) multiplied by (1 + R3/100). This becomes 10000 multiplied by 1.04, then by 1.05, and then by 1.06, which equals 11575.20. Subtracting the original principal of Rs. 10000 from this total gives a compound interest of Rs. 1575.20.