A sum of money at compound interest amounts to Rs. 11520 in 2 years and Rs. 13824 in 3 years. Find the sum. MCQ with Answer and Explanation

A sum of money at compound interest amounts to Rs. 11520 in 2 years and Rs. 13824 in 3 years. Find the sum.
A. Rs. 7000
B. Rs. 8000
C. Rs. 7500
D. Rs. 8500
Answer: Option B
Solution (By JKExamLibrary)
Rate = (13824/11520 − 1) × 100 = 20%. P = 11520 / (1.2)² = 11520 / 1.44 = 8000.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
What is the compound interest on Rs. 50000 for 1 year at 16% per annum, compounded half-yearly?
A. Rs. 8320
B. Rs. 8500
C. Rs. 8600
D. Rs. 8000

Correct Answer: Option A


Explanation:
Half-yearly rate = 16/2 = 8%. Time = 2 half-years. Amount = 50000 * (1 + 8/100)^2 = 50000 * 1.1664 = Rs. 58320. Compound Interest = 58320 - 50000 = Rs. 8320.

This question belongs to: Maths Compound Interest
Question #2 Report Error
The effective annual rate for 7% per annum compounded half-yearly is:
A. 7.20%
B. 7.12%
C. 7.25%
D. 7.10%

Correct Answer: Option B


Explanation:
Half-yearly rate 3.5%, (1.035)² = 1.071225, effective = 7.1225% ≈ 7.12%.

This question belongs to: Maths Compound Interest
Question #3 Report Error
Find the principal that yields a compound interest of Rs. 410 in 2 years at 5% per annum.
A. Rs. 4000
B. Rs. 4200
C. Rs. 4400
D. Rs. 3800

Correct Answer: Option A


Explanation:
CI = P[(1.05)² − 1] = P × 0.1025 = 410 ⇒ P = 410 / 0.1025 = 4000.

This question belongs to: Maths Compound Interest