A sum of money at compound interest becomes 2.25 times in 2 years. The rate of interest is: MCQ with Answer and Explanation

A sum of money at compound interest becomes 2.25 times in 2 years. The rate of interest is:
A. 55%
B. 50%
C. 45%
D. 40%
Answer: Option B
Solution (By JKExamLibrary)
(1+r)² = 2.25 ⇒ 1+r = 1.5 ⇒ r = 50%.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
The difference between CI and SI on Rs. 3200 for 2 years at 5% is:
A. Rs. 8
B. Rs. 9
C. Rs. 6
D. Rs. 7

Correct Answer: Option A


Explanation:
D = 3200 × (0.05)² = 3200 × 0.0025 = Rs. 8.

This question belongs to: Maths Compound Interest
Question #2 Report Error
In how many years will Rs. 1500 amount to Rs. 1815 at 10% per annum compound interest?
A. 1.5 years
B. 2 years
C. 2.5 years
D. 3 years

Correct Answer: Option B


Explanation:
1500(1.1)^t = 1815 ⇒ (1.1)^t = 1.21 ⇒ t = 2.

This question belongs to: Maths Compound Interest
Question #3 Report Error
The compound interest on a certain sum of money for 2 years at 8% per annum is Rs. 1248. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 1200
B. Rs. 1150
C. Rs. 1240
D. Rs. 1220

Correct Answer: Option A


Explanation:
Effective rate of compound interest for 2 years at 8% = 8 + 8 + (88)/100 = 16.64%. Simple interest rate = 8 * 2 = 16%. Given 16.64% of sum = 1248 => 1% of sum = 75. Simple Interest = 16% of sum = 16 * 75 = Rs. 1200.

This question belongs to: Maths Compound Interest