In how many years will a sum of Rs. 2000 amount to Rs. 2662 at 10% per annum compound interest? MCQ with Answer and Explanation

In how many years will a sum of Rs. 2000 amount to Rs. 2662 at 10% per annum compound interest?
A. 2 years
B. 3 years
C. 5 years
D. 4 years
Answer: Option B
Solution (By JKSSB Mock Tests)
2000 × (1.1)^t = 2662 ⇒ (1.1)^t = 1.331 = (1.1)³ ⇒ t = 3.

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Practice More Compound Interest Questions

Question #1
What is the compound interest on Rs. 10000 for 1 year at 8% per annum, compounded quarterly?
A. Rs. 800.00
B. Rs. 832.00
C. Rs. 841.60
D. Rs. 824.32

Correct Answer: Option D


Explanation:
Quarterly rate = 8 / 4 = 2%. Time = 4 quarters. Amount = 10000 * (1 + 2/100)^4 = 10000 * (1.02)^4 = 10000 * 1.082432 = Rs. 10824.32. Compound Interest = 10824.32 - 10000 = Rs. 824.32.

This question belongs to: Maths Compound Interest
Question #2
In how many years will Rs. 1200 amount to Rs. 1323 at 5% per annum compound interest?
A. 3 years
B. 1.5 years
C. 2.5 years
D. 2 years

Correct Answer: Option D


Explanation:
1200(1.05)^t = 1323 ⇒ (1.05)^t = 1.1025 = (1.05)² ⇒ t = 2.

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. 170000
B. 160000
C. 150000
D. 180000

Correct Answer: Option B


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