The difference between simple interest and compound interest on a certain sum of money for 3 years at 5% per annum is Rs. 244. Find the sum. MCQ with Answer and Explanation

The difference between simple interest and compound interest on a certain sum of money for 3 years at 5% per annum is Rs. 244. Find the sum.
A. Rs. 32000
B. Rs. 36000
C. Rs. 34000
D. Rs. 30000
Answer: Option A
Solution (By JKSSB Mock Tests)
Difference for 3 years = P * (R/100)^2 * (3 + R/100) => 244 = P * (5/100)^2 * (3 + 5/100) => 244 = P * (1/400) * (3.05) => P = (244 * 400) / 3.05 = 97600 / 3.05 = Rs. 32000.

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Practice More Compound Interest Questions

Question #1
At compound interest, a sum becomes 1.21 times in 2 years. The rate of interest per annum is:
A. 10%
B. 11%
C. 9%
D. 12%

Correct Answer: Option A


Explanation:
(1 + r)² = 1.21 ⇒ 1 + r = 1.1 ⇒ r = 10%.

This question belongs to: Maths Compound Interest
Question #2
In how many years will Rs. 1500 amount to Rs. 1815 at 10% per annum compound interest?
A. 1.5 years
B. 2.5 years
C. 3 years
D. 2 years

Correct Answer: Option D


Explanation:
1500(1.1)^t = 1815 ⇒ (1.1)^t = 1.21 ⇒ t = 2.

This question belongs to: Maths Compound Interest
Question #3
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. 51.25
C. Rs. 53.50
D. Rs. 52.00

Correct Answer: Option B


Explanation:
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.

This question belongs to: Maths Compound Interest