The effective rate of interest for 10% per annum compounded half-yearly is: MCQ with Answer and Explanation

The effective rate of interest for 10% per annum compounded half-yearly is:
A. 10.25%
B. 10.75%
C. 10.10%
D. 10.50%
Answer: Option A
Solution (By JKExamLibrary)
Effective rate = (1.05)² − 1 = 1.1025 − 1 = 0.1025 = 10.25%.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
Find the compound interest on Rs. 4500 at 8% per annum for 1 year compounded half-yearly.
A. Rs. 374.40
B. Rs. 380
C. Rs. 367.20
D. Rs. 360

Correct Answer: Option C


Explanation:
Half-yearly rate 4%, n=2. A = 4500 × (1.04)² = 4500 × 1.0816 = 4867.20, CI = 4867.20 − 4500 = Rs. 367.20.

This question belongs to: Maths Compound Interest
Question #2 Report Error
The difference between CI and SI for 3 years at 5% on a sum is Rs. 122. Find the sum.
A. Rs. 16000
B. Rs. 17000
C. Rs. 14000
D. Rs. 15000

Correct Answer: Option A


Explanation:
D = P(5/100)² × (3 + 5/100) = P × 0.0025 × 3.05 = 0.007625P = 122 ⇒ P = 122 / 0.007625 = 16000.

This question belongs to: Maths Compound Interest
Question #3 Report Error
The compound interest on Rs. 5000 at 8% per annum for 1 year compounded half-yearly is:
A. Rs. 400
B. Rs. 408
C. Rs. 416
D. Rs. 412

Correct Answer: Option B


Explanation:
Rate per half-year = 4%, n = 2. A = 5000 × (1.04)² = 5000 × 1.0816 = 5408, CI = 5408 − 5000 = Rs. 408.

This question belongs to: Maths Compound Interest