If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what will be the compound interest on the same sum at the same rate for the same time? MCQ with Answer and Explanation

If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what will be the compound interest on the same sum at the same rate for the same time?
A. Rs. 50.50
B. Rs. 52.00
C. Rs. 51.25
D. Rs. 53.50
Answer: Option C
Solution (By JKSSB Mock Tests)
Simple Interest for 1 year = 50 / 2 = Rs. 25. Compound interest for 2 years includes the simple interest plus interest on the first year's interest. Extra interest = 5% of 25 = Rs. 1.25. Total compound interest = 50 + 1.25 = Rs. 51.25.

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Practice More Compound Interest Questions

Question #1
The compound interest on a certain sum of money for 2 years at 6% per annum is Rs. 370.80. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 365
B. Rs. 370
C. Rs. 350
D. Rs. 360

Correct Answer: Option D


Explanation:
Effective rate of compound interest for 2 years at 6% = 6 + 6 + (66)/100 = 12.36%. Simple interest rate = 6 * 2 = 12%. Given 12.36% of sum = 370.80 => 1% of sum = 30. Simple Interest = 12% of sum = 12 * 30 = Rs. 360.

This question belongs to: Maths Compound Interest
Question #2
The difference between CI and SI on a sum for 2 years at 12% is Rs. 72. The sum is:
A. Rs. 5000
B. Rs. 4500
C. Rs. 6000
D. Rs. 5500

Correct Answer: Option A


Explanation:
D = P × (0.12)² = P × 0.0144 = 72 ⇒ P = 5000.

This question belongs to: Maths Compound Interest
Question #3
At what rate percent compound interest will Rs. 800 amount to Rs. 968 in 2 years?
A. 8%
B. 15%
C. 12%
D. 10%

Correct Answer: Option D


Explanation:
800(1+r)² = 968 ⇒ (1+r)² = 1.21 ⇒ r = 10%.

This question belongs to: Maths Compound Interest