The difference between simple interest and compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 36. Find the sum. MCQ with Answer and Explanation

The difference between simple interest and compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 36. Find the sum.
A. Rs. 16000
B. Rs. 15000
C. Rs. 12000
D. Rs. 14400
Answer: Option D
Solution (By JKSSB Mock Tests)
Difference for 2 years = P * (R/100)^2 => 36 = P * (5/100)^2 => 36 = P * (25 / 10000) => P = (36 * 10000) / 25 = 14400.

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Practice More Compound Interest Questions

Question #1
A sum of money invested at compound interest doubles itself in 18 years. In how many years will it become 4 times of itself?
A. 45 years
B. 54 years
C. 27 years
D. 36 years

Correct Answer: Option D


Explanation:
The sum doubles (2^1) in 18 years. It will become 4 (2^2) times in 2 * 18 = 36 years.

This question belongs to: Maths Compound Interest
Question #2
In what time will Rs. 5000 amount to Rs. 6050 at 10% per annum compound interest?
A. 2 years
B. 3 years
C. 4 years
D. 1 year

Correct Answer: Option A


Explanation:
5000(1.1)^t = 6050 ⇒ (1.1)^t = 1.21 = (1.1)² ⇒ t = 2.

This question belongs to: Maths Compound Interest
Question #3
The compound interest on a certain sum of money for 2 years at 5% per annum is Rs. 246. What is the sum?
A. Rs. 2600
B. Rs. 2400
C. Rs. 2200
D. Rs. 2500

Correct Answer: Option B


Explanation:
Effective compound interest rate for 2 years at 5% = 5 + 5 + (55)/100 = 10.25%. Given 10.25% of P = 246 => P = 246 / 0.1025 = Rs. 2400.

This question belongs to: Maths Compound Interest