The compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 410. What would be the simple interest on the same sum at the same rate for the same time? MCQ with Answer and Explanation

The compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 410. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 390
B. Rs. 408
C. Rs. 405
D. Rs. 400
Answer: Option D
Solution (By JKSSB Mock Tests)
Effective rate of compound interest for 2 years at 5% = 5 + 5 + (55)/100 = 10.25%. Simple interest rate = 5 * 2 = 10%. Given 10.25% of sum = 410 => 1% of sum = 40. Simple Interest = 10% of sum = 10 * 40 = Rs. 400.

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Practice More Compound Interest Questions

Question #1
At what rate percent per annum compound interest will Rs. 400 amount to Rs. 484 in 2 years?
A. 12%
B. 10%
C. 8%
D. 15%

Correct Answer: Option B


Explanation:
400(1 + r)² = 484 ⇒ (1+r)² = 1.21 ⇒ 1+r = 1.1 ⇒ r = 10%.

This question belongs to: Maths Compound Interest
Question #2
The effective annual rate of interest for 10% per annum compounded quarterly is:
A. 10.50%
B. 10.38%
C. 10.47%
D. 10.25%

Correct Answer: Option B


Explanation:
Quarterly rate 2.5%, (1.025)⁴ = 1.10381289, effective = 10.3813% ≈ 10.38%.

This question belongs to: Maths Compound Interest
Question #3
The difference between simple interest and compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 144. Find the sum.
A. Rs. 57600
B. Rs. 64000
C. Rs. 60000
D. Rs. 55000

Correct Answer: Option A


Explanation:
Difference for 2 years = P * (R/100)^2 => 144 = P * (5/100)^2 => 144 = P * (25 / 10000) => P = (144 * 10000) / 25 = Rs. 57600.

This question belongs to: Maths Compound Interest