The compound interest on a certain sum of money for 2 years at 8% per annum is Rs. 416. 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 8% per annum is Rs. 416. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 410
B. Rs. 400
C. Rs. 412
D. Rs. 380
Answer: Option B
Solution (By JKExamLibrary)
Effective rate of compound interest for 2 years at 8% = 8 + 8 + (88)/100 = 16.64%. Simple interest rate = 8 * 2 = 16%. Given 16.64% of sum = 416 => 1% of sum = 25. Simple Interest = 16% of sum = 16 * 25 = Rs. 400.

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 certain sum for 2 years at 10% per annum is Rs. 630. Find the principal sum.
A. Rs. 3400
B. Rs. 3000
C. Rs. 2800
D. Rs. 3200

Correct Answer: Option B


Explanation:
Effective rate of compound interest for 2 years at 10% = 10 + 10 + (1010)/100 = 21%. Given 21% of P = 630 => P = 630 / 0.21 = Rs. 3000.

This question belongs to: Maths Compound Interest
Question #2 Report Error
The difference between CI and SI on Rs. 5600 for 2 years at 5% is:
A. Rs. 18
B. Rs. 12
C. Rs. 16
D. Rs. 14

Correct Answer: Option D


Explanation:
D = 5600 × 0.0025 = Rs. 14.

This question belongs to: Maths Compound Interest
Question #3 Report Error
The difference between compound interest and simple interest on a sum for 2 years at 8% is Rs. 32. The sum is:
A. Rs. 4500
B. Rs. 4000
C. Rs. 5000
D. Rs. 5500

Correct Answer: Option C


Explanation:
D = P × (0.08)² = P × 0.0064 = 32 ⇒ P = 5000.

This question belongs to: Maths Compound Interest