The difference between simple and compound interest on a sum of money for 2 years at 10% per annum is Rs. 65. Find the sum. MCQ with Answer and Explanation

The difference between simple and compound interest on a sum of money for 2 years at 10% per annum is Rs. 65. Find the sum.
A. Rs. 7500
B. Rs. 6500
C. Rs. 7000
D. Rs. 6000
Answer: Option B
Solution (By JKSSB Mock Tests)
Difference for 2 years = P * (R/100)^2 => 65 = P * (10/100)^2 => 65 = P * 0.01 => P = 65 / 0.01 = Rs. 6500.

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Practice More Compound Interest Questions

Question #1
The compound interest on a certain sum for 2 years at 5% per annum is Rs. 410. Find the principal sum.
A. Rs. 4200
B. Rs. 3800
C. Rs. 4400
D. Rs. 4000

Correct Answer: Option D


Explanation:
Effective rate of compound interest for 2 years at 5% = 5 + 5 + (55)/100 = 10.25%. Given 10.25% of P = 410 => P = 410 / 0.1025 = Rs. 4000.

This question belongs to: Maths Compound Interest
Question #2
What is the effective rate of interest corresponding to 12% per annum compounded half-yearly?
A. 12.36%
B. 12.25%
C. 12.50%
D. 12.60%

Correct Answer: Option A


Explanation:
Effective rate = (1.06)² − 1 = 1.1236 − 1 = 12.36%.

This question belongs to: Maths Compound Interest
Question #3
Find the compound interest on Rs. 10000 for 1 year at 8% per annum, compounded quarterly.
A. Rs. 850.50
B. Rs. 840.00
C. Rs. 800.00
D. Rs. 824.32

Correct Answer: Option D


Explanation:
Quarterly rate = 8 / 4 = 2%. Time = 4 quarters. Amount = 10000 * (1 + 2/100)^4 = 10000 * (1.02)^4 = 10000 * 1.082432 = Rs. 10824.32. Compound Interest = 10824.32 - 10000 = Rs. 824.32.

This question belongs to: Maths Compound Interest