The effective annual rate of interest for 12% per annum compounded quarterly is: MCQ with Answer and Explanation

The effective annual rate of interest for 12% per annum compounded quarterly is:
A. 12.60%
B. 12.55%
C. 12.65%
D. 12.50%
Answer: Option B
Solution (By JKSSB Mock Tests)
Quarterly rate = 3%, (1.03)⁴ = 1.12550881, effective ≈ 12.55%.

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Practice More Compound Interest Questions

Question #1
A sum of money placed at compound interest triples itself in 5 years. In how many years will it become 9 times of itself?
A. 12 years
B. 15 years
C. 8 years
D. 10 years

Correct Answer: Option D


Explanation:
The sum becomes 3^1 times in 5 years. It will become 9 (3^2) times in 2 * 5 = 10 years.

This question belongs to: Maths Compound Interest
Question #2
If the compound interest on a certain sum for 2 years at 12% per annum is Rs. 1590, find the simple interest on the same sum at the same rate for the same period.
A. Rs. 1450
B. Rs. 1400
C. Rs. 1550
D. Rs. 1500

Correct Answer: Option D


Explanation:
Effective compound interest rate = 12 + 12 + (1212)/100 = 25.44%. Simple interest rate = 12 * 2 = 24%. Given 25.44% of sum = 1590 => Sum = 1590 / 0.2544 = Rs. 6250. Simple Interest = 24% of 6250 = Rs. 1500.

This question belongs to: Maths Compound Interest
Question #3
The population of a city increases at the rate of 5% annually. If the present population is 185220, what was its population 3 years ago?
A. 150000
B. 180000
C. 170000
D. 160000

Correct Answer: Option D


Explanation:
Population 3 years ago = 185220 / (1 + 5/100)^3 = 185220 / (21/20)^3 = 185220 * 8000 / 9261 = 20 * 8000 = 160000.

This question belongs to: Maths Compound Interest