The compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 615. 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. 615. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 580
B. Rs. 612
C. Rs. 600
D. Rs. 610
Answer: Option C
Solution (By JKSSB Mock Tests)
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 = 615 => 1% of sum = 60. Simple Interest = 10% of sum = 10 * 60 = Rs. 600.

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Practice More Compound Interest Questions

Question #1
In how many years will Rs. 900 amount to Rs. 1089 at 10% per annum compound interest?
A. 1 year
B. 2.5 years
C. 1.5 years
D. 2 years

Correct Answer: Option D


Explanation:
900(1.1)^t = 1089 ⇒ (1.1)^t = 1.21 ⇒ t = 2.

This question belongs to: Maths Compound Interest
Question #2
The value of a machine depreciates at 20% per annum. Its present value is Rs. 32000. What was its value 2 years ago?
A. Rs. 40000
B. Rs. 51200
C. Rs. 50000
D. Rs. 48000

Correct Answer: Option C


Explanation:
Value 2 years ago = Present value / (1 − 0.2)² = 32000 / 0.64 = 50000.

This question belongs to: Maths Compound Interest
Question #3
At what rate percent compound interest will Rs. 20000 amount to Rs. 22050 in 2 years?
A. 4%
B. 5%
C. 7%
D. 6%

Correct Answer: Option B


Explanation:
20000(1+r)² = 22050 ⇒ (1+r)² = 1.1025 = (1.05)² ⇒ r = 5%.

This question belongs to: Maths Compound Interest