At what rate percent per annum will Rs. 5000 amount to Rs. 5618 in 2 years at compound interest? MCQ with Answer and Explanation

At what rate percent per annum will Rs. 5000 amount to Rs. 5618 in 2 years at compound interest?
A. 5%
B. 6%
C. 7%
D. 8%
Answer: Option B
Solution (By JKSSB Mock Tests)
5000(1+r)² = 5618 ⇒ (1+r)² = 1.1236 = (1.06)² ⇒ r = 6%.

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Practice More Compound Interest Questions

Question #1
The compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 615. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 580
B. Rs. 600
C. Rs. 612
D. Rs. 610

Correct Answer: Option B


Explanation:
Effective rate of compound interest for 2 years at 5% = 5 + 5 + (55)/100 = 10.25%. Simple interest rate = 5 * 2 = 10%. Given 10.25% of sum = 615 => 1% of sum = 60. Simple Interest = 10% of sum = 10 * 60 = Rs. 600.

This question belongs to: Maths Compound Interest
Question #2
What is the compound interest on Rs. 10000 for 1 year at 12% per annum, compounded half-yearly?
A. Rs. 1250
B. Rs. 1200
C. Rs. 1300
D. Rs. 1236

Correct Answer: Option D


Explanation:
Half-yearly rate = 12/2 = 6%. Time = 2 half-years. Amount = 10000 * (1 + 6/100)^2 = 10000 * 1.1236 = Rs. 11236. Compound Interest = 11236 - 10000 = Rs. 1236.

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. 160000
B. 170000
C. 150000
D. 180000

Correct Answer: Option A


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