At what rate percent per annum will Rs. 12500 amount to Rs. 14580 in 2 years, compound interest compounded annually? MCQ with Answer and Explanation

At what rate percent per annum will Rs. 12500 amount to Rs. 14580 in 2 years, compound interest compounded annually?
A. 6%
B. 8%
C. 12%
D. 10%
Answer: Option B
Solution (By JKExamLibrary)
Amount/Principal = 14580 / 12500 = 1458 / 1250 = 729 / 625 = (27 / 25)^2 = (1.08)^2. Therefore, 1 + R/100 = 1.08 => R = 8%.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
In how many years will Rs. 4000 amount to Rs. 4410 at 5% per annum compound interest?
A. 1.5 years
B. 2.5 years
C. 1 year
D. 2 years

Correct Answer: Option D


Explanation:
4000(1.05)^t = 4410 ⇒ (1.05)^t = 1.1025 ⇒ t = 2.

This question belongs to: Maths Compound Interest
Question #2 Report Error
At what rate percent per annum will Rs. 2304 amount to Rs. 2500 in 2 years at compound interest?
A. 4.5%
B. 4.16%
C. 4%
D. 4.34%

Correct Answer: Option C


Explanation:
Amount/Principal = 2500 / 2304 = (50 / 48)^2 = (25 / 24)^2. Thus, 1 + R/100 = 25/24 => R/100 = 1/24 => R = 100/24 = 4.16%. Correct option is B.

This question belongs to: Maths Compound Interest
Question #3 Report Error
The difference between simple interest and compound interest on Rs. 18000 for 2 years is Rs. 405. Find the rate of interest per annum.
A. 20%
B. 18%
C. 12%
D. 15%

Correct Answer: Option D


Explanation:
Difference for 2 years = P * (R/100)^2 => 405 = 18000 * (R/100)^2 => 405 = 1.8 * R^2 => R^2 = 405 / 1.8 = 225 => R = 15%.

This question belongs to: Maths Compound Interest