A sum of money at compound interest amounts to Rs. 14520 in 2 years and to Rs. 15972 in 3 years. Find the sum. MCQ with Answer and Explanation

A sum of money at compound interest amounts to Rs. 14520 in 2 years and to Rs. 15972 in 3 years. Find the sum.
A. Rs. 10000
B. Rs. 13000
C. Rs. 12000
D. Rs. 14000
Answer: Option C
Solution (By JKExamLibrary)
Rate = (15972/14520 − 1) × 100 = 10%. P = 14520 / (1.1)² = 14520 / 1.21 = 12000.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
A sum of money placed at compound interest becomes double of itself in 5 years. In how many years will it become 8 times of itself?
A. 25 years
B. 10 years
C. 15 years
D. 20 years

Correct Answer: Option C


Explanation:
The sum becomes 2^1 times in 5 years. It will become 8 (2^3) times in 3 * 5 = 15 years.

This question belongs to: Maths Compound Interest
Question #2 Report Error
What is the compound interest on Rs. 10000 for 1 year at 20% per annum, compounded half-yearly?
A. Rs. 2000
B. Rs. 2300
C. Rs. 2100
D. Rs. 2200

Correct Answer: Option C


Explanation:
Half-yearly rate = 20/2 = 10%. Time = 2 half-years. Amount = 10000 * (1 + 10/100)^2 = 10000 * 1.21 = Rs. 12100. Compound Interest = 12100 - 10000 = Rs. 2100.

This question belongs to: Maths Compound Interest
Question #3 Report Error
The effective rate of interest for 6% per annum compounded half-yearly is:
A. 6.12%
B. 6.15%
C. 6.06%
D. 6.09%

Correct Answer: Option D


Explanation:
Effective rate = (1.03)² − 1 = 1.0609 − 1 = 6.09%.

This question belongs to: Maths Compound Interest