The compound interest on a sum for 1 year at 10% per annum compounded half-yearly is Rs. 410. Find the sum. MCQ with Answer and Explanation

The compound interest on a sum for 1 year at 10% per annum compounded half-yearly is Rs. 410. Find the sum.
A. Rs. 4000
B. Rs. 4200
C. Rs. 3600
D. Rs. 3800
Answer: Option A
Solution (By JKExamLibrary)
CI = P[(1.05)² − 1] = 0.1025P = 410 ⇒ P = 4000.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
Find the compound interest on Rs. 1800 at 10% per annum for 1 year compounded half-yearly.
A. Rs. 184.50
B. Rs. 189
C. Rs. 180
D. Rs. 190

Correct Answer: Option A


Explanation:
Half-yearly rate 5%, n=2. A = 1800 × (1.05)² = 1800 × 1.1025 = 1984.50, CI = 1984.50 − 1800 = Rs. 184.50.

This question belongs to: Maths Compound Interest
Question #2 Report Error
The difference between CI and SI on Rs. 15000 for 2 years at 10% is:
A. Rs. 130
B. Rs. 140
C. Rs. 150
D. Rs. 120

Correct Answer: Option C


Explanation:
D = 15000 × 0.01 = Rs. 150.

This question belongs to: Maths Compound Interest
Question #3 Report Error
A sum of money doubles itself in 8 years at compound interest. In how many years will it become four times of itself?
A. 24 years
B. 16 years
C. 12 years
D. 20 years

Correct Answer: Option B


Explanation:
The sum doubles (2^1) in 8 years. It will become 4 (2^2) times in 2 * 8 = 16 years.

This question belongs to: Maths Compound Interest