The compound interest on a sum for 1 year at 10% compounded half-yearly is Rs. 102.50. The sum is: MCQ with Answer and Explanation

The compound interest on a sum for 1 year at 10% compounded half-yearly is Rs. 102.50. The sum is:
A. Rs. 1100
B. Rs. 1050
C. Rs. 950
D. Rs. 1000
Answer: Option D
Solution (By JKExamLibrary)
A = P(1.05)² = 1.1025P, CI = 0.1025P = 102.50 ⇒ P = 1000.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
A sum of money becomes Rs. 24200 in 2 years and Rs. 26620 in 3 years at compound interest compounded annually. Find the sum.
A. Rs. 18000
B. Rs. 22000
C. Rs. 24000
D. Rs. 20000

Correct Answer: Option D


Explanation:
Rate of interest = ((26620 - 24200) / 24200) * 100 = (2420 / 24200) * 100 = 10%. Principal P = 24200 / (1 + 10/100)^2 = 24200 / 1.21 = Rs. 20000.

This question belongs to: Maths Compound Interest
Question #2 Report Error
In how many years will Rs. 8000 amount to Rs. 8820 at 5% per annum compound interest?
A. 2 years
B. 4 years
C. 3 years
D. 1 year

Correct Answer: Option A


Explanation:
8000(1.05)^t = 8820 ⇒ (1.05)^t = 1.1025 ⇒ t = 2.

This question belongs to: Maths Compound Interest
Question #3 Report Error
The compound interest on a certain sum for 2 years at 10% per annum is Rs. 630. Find the principal sum.
A. Rs. 3400
B. Rs. 2800
C. Rs. 3000
D. Rs. 3200

Correct Answer: Option C


Explanation:
Effective rate of compound interest for 2 years at 10% = 10 + 10 + (1010)/100 = 21%. Given 21% of P = 630 => P = 630 / 0.21 = Rs. 3000.

This question belongs to: Maths Compound Interest