The compound interest on a certain sum of money for 2 years at 4% per annum is Rs. 204. 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 4% per annum is Rs. 204. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 195
B. Rs. 200
C. Rs. 202
D. Rs. 203
Answer: Option B
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 = 204 => 1% of sum = 25. Simple Interest = 8% of sum = 8 * 25 = Rs. 200.

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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 difference between simple interest and compound interest on a certain sum of money for 3 years at 5% per annum is Rs. 244. Find the sum.
A. Rs. 36000
B. Rs. 32000
C. Rs. 30000
D. Rs. 34000

Correct Answer: Option B


Explanation:
Difference for 3 years = P * (R/100)^2 * (3 + R/100) => 244 = P * (5/100)^2 * (3 + 5/100) => 244 = P * (1/400) * (3.05) => P = (244 * 400) / 3.05 = 97600 / 3.05 = Rs. 32000.

This question belongs to: Maths Compound Interest
Question #3
The compound interest on a certain sum for 2 years at 4% per annum is Rs. 1632. Find the principal sum.
A. Rs. 22000
B. Rs. 18000
C. Rs. 24000
D. Rs. 20000

Correct Answer: Option D


Explanation:
Effective rate of compound interest for 2 years at 4% = 4 + 4 + (44)/100 = 8.16%. Given 8.16% of P = 1632 => P = 1632 / 0.0816 = Rs. 20000.

This question belongs to: Maths Compound Interest