The difference between compound interest (compounded annually) and simple interest on a certain sum of money for 3 years at 5% per annum is Rs. 122. Find the sum. MCQ with Answer and Explanation

The difference between compound interest (compounded annually) and simple interest on a certain sum of money for 3 years at 5% per annum is Rs. 122. Find the sum.
A. Rs. 18000
B. Rs. 15000
C. Rs. 16000
D. Rs. 17000
Answer: Option C
Solution (By JKExamLibrary)
Difference for 3 years = P * (R/100)^2 * (3 + R/100) => 122 = P * (5/100)^2 * (3 + 5/100) => 122 = P * (1/400) * (3.05) => 122 = P * (3.05 / 400) => P = (122 * 400) / 3.05 = 48800 / 3.05 = Rs. 16000.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
The compound interest on a sum for 2 years at 10% is Rs. 420. The sum is:
A. Rs. 2100
B. Rs. 1800
C. Rs. 1900
D. Rs. 2000

Correct Answer: Option D


Explanation:
CI = P[(1.1)² − 1] = 0.21P = 420 ⇒ P = 2000.

This question belongs to: Maths Compound Interest
Question #2 Report Error
In how many years will Rs. 900 amount to Rs. 1089 at 10% per annum compound interest?
A. 2 years
B. 1.5 years
C. 2.5 years
D. 1 year

Correct Answer: Option A


Explanation:
900(1.1)^t = 1089 ⇒ (1.1)^t = 1.21 ⇒ t = 2.

This question belongs to: Maths Compound Interest
Question #3 Report Error
Find the compound interest on Rs. 40000 for 1 year at 12% per annum, compounded quarterly.
A. Rs. 5210.50
B. Rs. 4800.00
C. Rs. 5100.00
D. Rs. 5020.34

Correct Answer: Option D


Explanation:
Quarterly rate = 12 / 4 = 3%. Time = 4 quarters. Amount = 40000 * (1 + 3/100)^4 = 40000 * (1.03)^4 = 40000 * 1.12550881 = Rs. 45020.35. Compound Interest = 45020.35 - 40000 = Rs. 5020.35. Correct option matches B layout metrics.

This question belongs to: Maths Compound Interest