What is the compound interest on Rs. 10000 for 1 year at 16% per annum, compounded half-yearly? MCQ with Answer and Explanation

What is the compound interest on Rs. 10000 for 1 year at 16% per annum, compounded half-yearly?
A. Rs. 1664
B. Rs. 1600
C. Rs. 1750
D. Rs. 1700
Answer: Option A
Solution (By JKExamLibrary)
Half-yearly rate = 16/2 = 8%. Time = 2 half-years. Amount = 10000 * (1 + 8/100)^2 = 10000 * 1.1664 = Rs. 11664. Compound Interest = 11664 - 10000 = Rs. 1664.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
A machine depreciates at 5% per annum. Its present value is Rs. 5415. What was its value 2 years ago?
A. Rs. 6200
B. Rs. 6000
C. Rs. 6400
D. Rs. 5800

Correct Answer: Option B


Explanation:
Value 2 years ago = 5415 / (0.95)² = 5415 / 0.9025 = 6000.

This question belongs to: Maths Compound Interest
Question #2 Report Error
A sum of money invested at compound interest doubles itself in 16 years. In how many years will it become 4 times of itself?
A. 40 years
B. 24 years
C. 32 years
D. 48 years

Correct Answer: Option C


Explanation:
The sum doubles (2^1) in 16 years. It will become 4 (2^2) times in 2 * 16 = 32 years.

This question belongs to: Maths Compound Interest
Question #3 Report Error
The difference between compound interest (compounded annually) and simple interest on a certain sum of money for 3 years at 5% per annum is Rs. 122. Find the sum.
A. Rs. 15000
B. Rs. 18000
C. Rs. 16000
D. Rs. 17000

Correct Answer: Option C


Explanation:
Difference for 3 years = P * (R/100)^2 * (3 + R/100) => 122 = P * (5/100)^2 * (3 + 5/100) => 122 = P * (1/400) * (3.05) => 122 = P * (3.05 / 400) => P = (122 * 400) / 3.05 = 48800 / 3.05 = Rs. 16000.

This question belongs to: Maths Compound Interest