What is the compound interest on a sum of Rs. 12,500 at 15% p.a. in 2 years, if the interest is compounded 8-monthly?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 4137.50.
8 months = 2/3 year ⇒ Time = 2 years = 3 periods (n)
Rate per period per 8-month period
Amount (A) = P(1 + R/100)n = 12500 (1 + 10/100)3
= 12500 × (11/10)3
= 12500 × 1331/1000
= 16637.5
CI = A - P = 16637.5 - 12500 = 4137.5