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? MCQ with Answer and Explanation

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. 203
B. Rs. 195
C. Rs. 202
D. Rs. 200
Answer: Option D
Solution (By JKSSB Mock Tests)
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.

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Practice More Compound Interest Questions

Question #1
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 #2
The difference between simple interest and compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 144. Find the sum.
A. Rs. 60000
B. Rs. 55000
C. Rs. 57600
D. Rs. 64000

Correct Answer: Option C


Explanation:
Difference for 2 years = P * (R/100)^2 => 144 = P * (5/100)^2 => 144 = P * (25 / 10000) => P = (144 * 10000) / 25 = Rs. 57600.

This question belongs to: Maths Compound Interest
Question #3
A sum of money at compound interest becomes 2.25 times in 2 years. In how many years will it become 5.0625 times?
A. 5 years
B. 3 years
C. 4 years
D. 6 years

Correct Answer: Option C


Explanation:
2.25 = (1.5)², so rate 50%. 5.0625 = 2.25², so 4 years. Or 2.25 times in 2 years, 5.0625 = (2.25)², so time 2×2=4.

This question belongs to: Maths Compound Interest