The compound interest on a sum for 1 year at 8% compounded half-yearly is Rs. 408. The sum is: MCQ with Answer and Explanation

The compound interest on a sum for 1 year at 8% compounded half-yearly is Rs. 408. The sum is:
A. Rs. 5000
B. Rs. 5200
C. Rs. 5400
D. Rs. 4800
Answer: Option A
Solution (By JKSSB Mock Tests)
A = P(1.04)² = P × 1.0816. CI = P × 0.0816 = 408 ⇒ P = 408 / 0.0816 = 5000.

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Practice More Compound Interest Questions

Question #1
The difference between CI and SI on Rs. 8000 for 2 years at 5% per annum is:
A. Rs. 22
B. Rs. 20
C. Rs. 16
D. Rs. 18

Correct Answer: Option B


Explanation:
Difference = P × (R/100)² = 8000 × 0.0025 = Rs. 20.

This question belongs to: Maths Compound Interest
Question #2
A sum of money amounts to Rs. 6655 in 3 years and Rs. 7320.50 in 4 years at compound interest. The sum is:
A. Rs. 6000
B. Rs. 6500
C. Rs. 5500
D. Rs. 5000

Correct Answer: Option D


Explanation:
Rate = (7320.50/6655 − 1) × 100 = 10%. P = 6655 / (1.1)³ = 6655 / 1.331 = 5000.

This question belongs to: Maths Compound Interest
Question #3
A sum of money at compound interest becomes 8 times in 3 years. In how many years will it become 64 times?
A. 5 years
B. 9 years
C. 6 years
D. 4 years

Correct Answer: Option C


Explanation:
8 times in 3 years, 64 = 8² ⇒ 3 × 2 = 6 years.

This question belongs to: Maths Compound Interest