A sum of money at compound interest becomes 2.25 times in 2 years. In how many years will it become 5.0625 times? MCQ with Answer and Explanation

A sum of money at compound interest becomes 2.25 times in 2 years. In how many years will it become 5.0625 times?
A. 4 years
B. 6 years
C. 3 years
D. 5 years
Answer: Option A
Solution (By JKExamLibrary)
2.25 = (1.5)², so rate 50%. 5.0625 = 2.25², so 4 years. Or 2.25 times in 2 years, 5.0625 = (2.25)², so time 2×2=4.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
If the compound interest on a sum for 2 years at 5% is Rs. 307.50, the simple interest on the same sum for 2 years at 5% is:
A. Rs. 300
B. Rs. 290
C. Rs. 310
D. Rs. 280

Correct Answer: Option A


Explanation:
CI = P × 0.1025 = 307.50 ⇒ P = 3000. SI = 3000 × 5 × 2 / 100 = Rs. 300.

This question belongs to: Maths Compound Interest
Question #2 Report Error
The difference between compound interest and simple interest on Rs. 12500 for 2 years is Rs. 20. Find the rate of interest per annum.
A. 3%
B. 4%
C. 5%
D. 6%

Correct Answer: Option B


Explanation:
Difference for 2 years = P * (R/100)^2 => 20 = 12500 * (R/100)^2 => 20 = 12500 * R^2 / 10000 => 20 = 1.25 * R^2 => R^2 = 20 / 1.25 = 16 => R = 4%.

This question belongs to: Maths Compound Interest
Question #3 Report Error
What sum will amount to Rs. 2420 in 2 years at 10% per annum compound interest?
A. Rs. 2100
B. Rs. 2000
C. Rs. 1800
D. Rs. 1900

Correct Answer: Option B


Explanation:
P = 2420 / (1.1)² = 2420 / 1.21 = 2000.

This question belongs to: Maths Compound Interest