The difference between simple interest and compound interest on a certain sum of money for 2 years at 4% per annum is Rs. 16. Find the sum. MCQ with Answer and Explanation

The difference between simple interest and compound interest on a certain sum of money for 2 years at 4% per annum is Rs. 16. Find the sum.
A. Rs. 10000
B. Rs. 12000
C. Rs. 11000
D. Rs. 9000
Answer: Option A
Solution (By JKExamLibrary)
Difference for 2 years = P * (R/100)^2 => 16 = P * (4/100)^2 => 16 = P * (16 / 10000) => P = Rs. 10000.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
What is the compound interest on Rs. 10000 for 1 year at 20% per annum, compounded half-yearly?
A. Rs. 2300
B. Rs. 2000
C. Rs. 2200
D. Rs. 2100

Correct Answer: Option D


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 #2 Report Error
A sum of money invested at compound interest doubles itself in 7 years. In how many years will it become 8 times of itself?
A. 28 years
B. 21 years
C. 35 years
D. 14 years

Correct Answer: Option B


Explanation:
The sum doubles (2^1) in 7 years. It will become 8 (2^3) times in 3 * 7 = 21 years.

This question belongs to: Maths Compound Interest
Question #3 Report Error
The effective annual rate for 15% per annum compounded half-yearly is:
A. 15.25%
B. 15.75%
C. 15.56%
D. 15.50%

Correct Answer: Option C


Explanation:
Half-yearly rate 7.5%, (1.075)² = 1.155625, effective = 15.5625% ≈ 15.56%.

This question belongs to: Maths Compound Interest