The difference between simple interest and compound interest on a certain sum of money for 2 years at 7% per annum is Rs. 49. 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 7% per annum is Rs. 49. Find the sum.
A. Rs. 10000
B. Rs. 9000
C. Rs. 11000
D. Rs. 12000
Answer: Option A
Solution (By JKSSB Mock Tests)
Difference for 2 years = P * (R/100)^2 => 49 = P * (7/100)^2 => 49 = P * (49 / 10000) => P = Rs. 10000.

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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. 9%
B. 10%
C. 12%
D. 11%

Correct Answer: Option B


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

This question belongs to: Maths Compound Interest
Question #2
What is the compound interest on Rs. 64000 for 1 year at 5% per annum, compounded half-yearly?
A. Rs. 3240
B. Rs. 3280
C. Rs. 3200
D. Rs. 3320

Correct Answer: Option A


Explanation:
Half-yearly rate = 5/2 = 2.5%. Time = 2 half-years. Amount = 64000 * (1 + 2.5/100)^2 = 64000 * (41/40)^2 = 64000 * (1681 / 1600) = 40 * 1681 = Rs. 67240. Compound Interest = 67240 - 64000 = Rs. 3240.

This question belongs to: Maths Compound Interest
Question #3
What sum will amount to Rs. 10584 in 2 years at 5% compound interest?
A. Rs. 9600
B. Rs. 9400
C. Rs. 9200
D. Rs. 9800

Correct Answer: Option A


Explanation:
P = 10584 / 1.1025 = 9600.

This question belongs to: Maths Compound Interest