The difference between simple interest and compound interest on Rs. 18000 for 2 years is Rs. 405. Find the rate of interest per annum. MCQ with Answer and Explanation

The difference between simple interest and compound interest on Rs. 18000 for 2 years is Rs. 405. Find the rate of interest per annum.
A. 12%
B. 15%
C. 18%
D. 20%
Answer: Option B
Solution (By JKExamLibrary)
Difference for 2 years = P * (R/100)^2 => 405 = 18000 * (R/100)^2 => 405 = 1.8 * R^2 => R^2 = 405 / 1.8 = 225 => R = 15%.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
At what rate of compound interest will Rs. 2000 amount to Rs. 2205 in 2 years?
A. 4%
B. 7%
C. 6%
D. 5%

Correct Answer: Option D


Explanation:
2000(1+r)² = 2205 ⇒ (1+r)² = 1.1025 = (1.05)² ⇒ r = 5%.

This question belongs to: Maths Compound Interest
Question #2 Report Error
The effective rate of interest for 10% per annum compounded half-yearly is:
A. 10.75%
B. 10.25%
C. 10.50%
D. 10.10%

Correct Answer: Option B


Explanation:
Effective rate = (1.05)² − 1 = 1.1025 − 1 = 0.1025 = 10.25%.

This question belongs to: Maths Compound Interest
Question #3 Report Error
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. 2400
B. Rs. 2600
C. Rs. 2500
D. Rs. 2200

Correct Answer: Option A


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