The compound interest on a certain sum for 2 years at 5% per annum is Rs. 820. Find the principal sum. MCQ with Answer and Explanation

The compound interest on a certain sum for 2 years at 5% per annum is Rs. 820. Find the principal sum.
A. Rs. 9000
B. Rs. 8000
C. Rs. 7500
D. Rs. 8500
Answer: Option B
Solution (By JKExamLibrary)
Effective rate of compound interest for 2 years at 5% = 5 + 5 + (55)/100 = 10.25%. Given 10.25% of P = 820 => P = 820 / 0.1025 = Rs. 8000.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
A sum of money at compound interest amounts to Rs. 14520 in 2 years and to Rs. 15972 in 3 years. Find the sum.
A. Rs. 13000
B. Rs. 14000
C. Rs. 10000
D. Rs. 12000

Correct Answer: Option D


Explanation:
Rate = (15972/14520 − 1) × 100 = 10%. P = 14520 / (1.1)² = 14520 / 1.21 = 12000.

This question belongs to: Maths Compound Interest
Question #2 Report Error
A sum of money at compound interest becomes 8 times in 3 years. The rate of interest is:
A. 100%
B. 50%
C. 120%
D. 80%

Correct Answer: Option A


Explanation:
(1+r)³ = 8 ⇒ 1+r = 2 ⇒ r = 100%.

This question belongs to: Maths Compound Interest
Question #3 Report Error
What is the compound interest on Rs. 10000 for 1 year at 16% per annum, compounded half-yearly?
A. Rs. 1750
B. Rs. 1700
C. Rs. 1600
D. Rs. 1664

Correct Answer: Option D


Explanation:
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