The compound interest on a certain sum for 2 years at 5% per annum is Rs. 410. Find the principal sum. MCQ with Answer and Explanation

The compound interest on a certain sum for 2 years at 5% per annum is Rs. 410. Find the principal sum.
A. Rs. 4000
B. Rs. 4400
C. Rs. 3800
D. Rs. 4200
Answer: Option A
Solution (By JKSSB Mock Tests)
Effective rate of compound interest for 2 years at 5% = 5 + 5 + (55)/100 = 10.25%. Given 10.25% of P = 410 => P = 410 / 0.1025 = Rs. 4000.

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Practice More Compound Interest Questions

Question #1
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. 405
B. Rs. 400
C. Rs. 390
D. Rs. 408

Correct Answer: Option B


Explanation:
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.

This question belongs to: Maths Compound Interest
Question #2
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. 200
B. Rs. 195
C. Rs. 203
D. Rs. 202

Correct Answer: Option A


Explanation:
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.

This question belongs to: Maths Compound Interest
Question #3
The difference between CI and SI on Rs. 3600 for 2 years at 5% is:
A. Rs. 10.00
B. Rs. 7.20
C. Rs. 9.00
D. Rs. 8.00

Correct Answer: Option C


Explanation:
D = 3600 × 0.0025 = Rs. 9.

This question belongs to: Maths Compound Interest