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Simple and Compound Interest: Compound Interest Half-Yearly

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Practice Questions

Concept Explanation

When interest is compounded half-yearly, the annual rate is halved and the number of periods is doubled.

Key Formula

A = P(1 + R/200)^(2T)

Rate per half-year = R/2
Number of periods = 2T

Example

P = Rs. 10,000, R = 10%, T = 1 year. A = 10000 × (1.05)^2 = Rs. 11,025.

Q1 Easy

Amount on Rs. 10,000 at 10% for 1 year compounded half-yearly is:
Q2 Medium

Amount on Rs. 8,000 at 8% for 1 year (half-yearly) is:
Q3 Medium

Amount on Rs. 20,000 at 10% for 2 years (half-yearly) is:
Q4 Easy

Amount on Rs. 5,000 at 20% for 1 year (half-yearly) is:
Q5 Hard

CI on Rs. 10,000 at 10% for 1 year (half-yearly) exceeds SI by:
Q6 Medium

Amount on Rs. 15,000 at 12% for 1 year (half-yearly) is:
Q7 Hard

Amount on Rs. 10,000 at 8% for 2 years (half-yearly) is:

Q8 Hard

Amount on Rs. 12,000 at 12% for 2 years (half-yearly) is:
Q9 Medium

Amount on Rs. 8,000 at 16% for 1 year (half-yearly) is:
Q10 Medium

Amount on Rs. 6,000 at 10% for 2 years (half-yearly) is:
Q11 Hard

Amount on Rs. 25,000 at 8% for 1.5 years (half-yearly) is:
Q12 Easy

Amount on Rs. 4,000 at 12% for 1 year (half-yearly) is:
Q13 Hard

Amount on Rs. 10,000 at 10% for 3 years (half-yearly) is:
Q14 Easy

For half-yearly compounding, rate per period on 10% p.a. is: