The effective annual rate for 9% per annum compounded half-yearly is: MCQ with Answer and Explanation

The effective annual rate for 9% per annum compounded half-yearly is:
A. 9.25%
B. 9.30%
C. 9.20%
D. 9.10%
Answer: Option C
Solution (By JKExamLibrary)
Half-yearly rate 4.5%, (1.045)² = 1.092025, effective = 9.2025% ≈ 9.20%.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
The compound interest on a certain sum for 2 years at 4% per annum is Rs. 1632. Find the principal sum.
A. Rs. 24000
B. Rs. 20000
C. Rs. 22000
D. Rs. 18000

Correct Answer: Option B


Explanation:
Effective rate of compound interest for 2 years at 4% = 4 + 4 + (44)/100 = 8.16%. Given 8.16% of P = 1632 => P = 1632 / 0.0816 = Rs. 20000.

This question belongs to: Maths Compound Interest
Question #2 Report Error
The compound interest on a sum for 2 years at 10% compounded half-yearly is Rs. 4310.12. The sum is:
A. Rs. 21000
B. Rs. 20000
C. Rs. 18000
D. Rs. 19000

Correct Answer: Option B


Explanation:
CI = P[(1.05)⁴ − 1] = P × 0.21550625 = 4310.125 ⇒ P = 4310.125 / 0.21550625 = 20000.

This question belongs to: Maths Compound Interest
Question #3 Report Error
A sum of money invested at compound interest doubles itself in 9 years. In how many years will it become 8 times of itself?
A. 27 years
B. 36 years
C. 45 years
D. 18 years

Correct Answer: Option A


Explanation:
The sum doubles (2^1) in 9 years. It will become 8 (2^3) times in 3 * 9 = 27 years.

This question belongs to: Maths Compound Interest