The compound interest on a certain sum for 2 years at 8% per annum is Rs. 416. Find the principal sum. MCQ with Answer and Explanation

The compound interest on a certain sum for 2 years at 8% per annum is Rs. 416. Find the principal sum.
A. Rs. 2500
B. Rs. 2400
C. Rs. 2600
D. Rs. 2800
Answer: Option A
Solution (By JKSSB Mock Tests)
Effective rate of compound interest for 2 years at 8% = 8 + 8 + (88)/100 = 16.64%. Given 16.64% of P = 416 => P = 416 / 0.1664 = Rs. 2500.

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Practice More Compound Interest Questions

Question #1
The difference between simple interest and compound interest on a certain sum of money for 3 years at 10% per annum is Rs. 930. Find the sum.
A. Rs. 28000
B. Rs. 34000
C. Rs. 32000
D. Rs. 30000

Correct Answer: Option D


Explanation:
Difference for 3 years = P * (R/100)^2 * (3 + R/100) => 930 = P * (10/100)^2 * (3 + 10/100) => 930 = P * (1/100) * (3.1) => 930 = P * 0.031 => P = 930 / 0.031 = Rs. 30000.

This question belongs to: Maths Compound Interest
Question #2
A sum of money doubles itself in 8 years at compound interest. In how many years will it become four times of itself?
A. 20 years
B. 16 years
C. 12 years
D. 24 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
Question #3
The compound interest on Rs. 8000 at 10% per annum for 1 year compounded half-yearly is:
A. Rs. 820
B. Rs. 840
C. Rs. 800
D. Rs. 860

Correct Answer: Option A


Explanation:
Half-yearly rate 5%, n=2. A = 8000 × (1.05)² = 8000 × 1.1025 = 8820, CI = 8820 − 8000 = Rs. 820.

This question belongs to: Maths Compound Interest