The difference between compound interest and simple interest on Rs. 12500 for 2 years is Rs. 20. Find the rate of interest per annum. MCQ with Answer and Explanation

The difference between compound interest and simple interest on Rs. 12500 for 2 years is Rs. 20. Find the rate of interest per annum.
A. 4%
B. 6%
C. 3%
D. 5%
Answer: Option A
Solution (By JKExamLibrary)
Difference for 2 years = P * (R/100)^2 => 20 = 12500 * (R/100)^2 => 20 = 12500 * R^2 / 10000 => 20 = 1.25 * R^2 => R^2 = 20 / 1.25 = 16 => R = 4%.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
A sum amounts to Rs. 1210 in 2 years and Rs. 1331 in 3 years at compound interest. Find the sum.
A. Rs. 1050
B. Rs. 900
C. Rs. 1000
D. Rs. 950

Correct Answer: Option C


Explanation:
Rate = (1331/1210 − 1) × 100 = 10%. P = 1210 / (1.1)² = 1210 / 1.21 = 1000.

This question belongs to: Maths Compound Interest
Question #2 Report Error
At what rate will Rs. 8000 amount to Rs. 9261 in 3 years at compound interest?
A. 8%
B. 6%
C. 5%
D. 4%

Correct Answer: Option C


Explanation:
8000(1+r)³ = 9261 ⇒ (1+r)³ = 1.157625 = (1.05)³ ⇒ r = 5%.

This question belongs to: Maths Compound Interest
Question #3 Report Error
The compound interest on a certain sum of money for 2 years at 10% per annum is Rs. 1050. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 1000
B. Rs. 1040
C. Rs. 950
D. Rs. 1025

Correct Answer: Option A


Explanation:
Effective rate of compound interest for 2 years at 10% = 10 + 10 + (1010)/100 = 21%. Simple interest rate = 10 * 2 = 20%. Given 21% of sum = 1050 => 1% of sum = 50. Simple Interest = 20% of sum = 20 * 50 = Rs. 1000.

This question belongs to: Maths Compound Interest