If the compound interest on a certain sum for 2 years at 4% per annum is Rs. 102, find the simple interest on the same sum at the same rate for the same period. MCQ with Answer and Explanation

If the compound interest on a certain sum for 2 years at 4% per annum is Rs. 102, find the simple interest on the same sum at the same rate for the same period.
A. Rs. 101
B. Rs. 101.50
C. Rs. 98
D. Rs. 100
Answer: Option D
Solution (By JKSSB Mock Tests)
Effective rate of compound interest for 2 years at 4% = 4 + 4 + (44)/100 = 8.16%. Simple interest rate = 4 * 2 = 8%. Given 8.16% of sum = 102, then 8% of sum = (102 / 8.16) * 8 = 12.5 * 8 = Rs. 100.

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Practice More Compound Interest Questions

Question #1
The difference between compound interest and simple interest on a certain sum for 2 years at 7% is Rs. 49. Find the sum.
A. Rs. 10000
B. Rs. 11000
C. Rs. 9000
D. Rs. 12000

Correct Answer: Option A


Explanation:
D = P × (0.07)² = P × 0.0049 = 49 ⇒ P = 10000.

This question belongs to: Maths Compound Interest
Question #2
The compound interest on Rs. 5000 at 8% per annum for 1 year compounded half-yearly is:
A. Rs. 416
B. Rs. 400
C. Rs. 412
D. Rs. 408

Correct Answer: Option D


Explanation:
Rate per half-year = 4%, n = 2. A = 5000 × (1.04)² = 5000 × 1.0816 = 5408, CI = 5408 − 5000 = Rs. 408.

This question belongs to: Maths Compound Interest
Question #3
The difference between compound interest and simple interest on Rs. 2000 for 3 years at 5% per annum is:
A. Rs. 15.25
B. Rs. 15.50
C. Rs. 16.00
D. Rs. 16.50

Correct Answer: Option A


Explanation:
CI − SI = P × (R/100)² × (3 + R/100) = 2000 × 0.0025 × 3.05 = 2000 × 0.007625 = Rs. 15.25.

This question belongs to: Maths Compound Interest