A sum of money at compound interest amounts to Rs. 6500 in 1 year and to Rs. 6760 in 2 years. Find the sum. MCQ with Answer and Explanation

A sum of money at compound interest amounts to Rs. 6500 in 1 year and to Rs. 6760 in 2 years. Find the sum.
A. Rs. 6300
B. Rs. 6000
C. Rs. 6250
D. Rs. 6400
Answer: Option C
Solution (By JKSSB Mock Tests)
Rate of interest = ((6760 - 6500) / 6500) * 100 = (260 / 6500) * 100 = 4%. Principal P = 6500 / (1 + 4/100) = 6500 / 1.04 = Rs. 6250.

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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 2 years at 8% per annum is Rs. 64. Find the sum.
A. Rs. 11000
B. Rs. 10000
C. Rs. 9000
D. Rs. 12000

Correct Answer: Option B


Explanation:
Difference for 2 years = P * (R/100)^2 => 64 = P * (8/100)^2 => 64 = P * (64 / 10000) => P = Rs. 10000.

This question belongs to: Maths Compound Interest
Question #2
The effective annual rate for 9% per annum compounded half-yearly is:
A. 9.25%
B. 9.30%
C. 9.10%
D. 9.20%

Correct Answer: Option D


Explanation:
Half-yearly rate 4.5%, (1.045)² = 1.092025, effective = 9.2025% ≈ 9.20%.

This question belongs to: Maths Compound Interest
Question #3
A sum of money doubles itself at compound interest in 8 years. In how many years will it become 16 times?
A. 24 years
B. 28 years
C. 32 years
D. 36 years

Correct Answer: Option C


Explanation:
2 times in 8 years, 16 = 2⁴, so 8 × 4 = 32 years.

This question belongs to: Maths Compound Interest