The compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 164. 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. 164. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 162
B. Rs. 155
C. Rs. 163
D. Rs. 160
Answer: Option D
Solution (By JKExamLibrary)
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 = 164 => 1% of sum = 16. Simple Interest = 10% of sum = 10 * 16 = Rs. 160.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
The compound interest on Rs. 3000 for 3 years at 5% per annum is:
A. Rs. 472.875
B. Rs. 473.00
C. Rs. 472.50
D. Rs. 475.00

Correct Answer: Option A


Explanation:
A = 3000 × (1.05)³ = 3000 × 1.157625 = 3472.875, CI = 3472.875 − 3000 = Rs. 472.875.

This question belongs to: Maths Compound Interest
Question #2 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. 2800
B. Rs. 3200
C. Rs. 3000
D. Rs. 3400

Correct Answer: Option C


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 #3 Report Error
What sum will amount to Rs. 13310 in 3 years at 10% per annum compound interest?
A. Rs. 9000
B. Rs. 10500
C. Rs. 10000
D. Rs. 9500

Correct Answer: Option C


Explanation:
P = 13310 / (1.1)³ = 13310 / 1.331 = 10000.

This question belongs to: Maths Compound Interest