What is the compound interest on a sum of ₹13,000 at 15% p.a. in 2 years, if the interest is compounded 8-monthly?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. ₹4,303.
CI = P(1 + )T - P
here, CI = Compoiund interest, P = Principal, R = Rate, T = Time
1 year = 12 months ⇒ 2 years = 24 months
Number of periods (n) = 24/8 = 3
Periodic rate = 15% ÷ = 15% × = 10%
⇒ CI = 13000 × (1 + )T - P
⇒ CI = 13000 × (1 + )3 - 13000
⇒ CI = 13000 × (1.1)3 - 13000
⇒ CI = 13000(1.331 - 1) - 13000
⇒ CI = 13000 × 0.331 = ₹4303