Find the compound interest on Rs. 4500 at 10% per annum for 1 year compounded half-yearly. MCQ with Answer and Explanation

Find the compound interest on Rs. 4500 at 10% per annum for 1 year compounded half-yearly.
A. Rs. 461.25
B. Rs. 472.50
C. Rs. 450
D. Rs. 480
Answer: Option A
Solution (By JKSSB Mock Tests)
Half-yearly rate 5%, n=2. A = 4500 × (1.05)² = 4500 × 1.1025 = 4961.25, CI = 4961.25 − 4500 = Rs. 461.25.

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Practice More Compound Interest Questions

Question #1
In how many years will Rs. 1200 amount to Rs. 1323 at 5% per annum compound interest?
A. 3 years
B. 2 years
C. 1.5 years
D. 2.5 years

Correct Answer: Option B


Explanation:
1200(1.05)^t = 1323 ⇒ (1.05)^t = 1.1025 = (1.05)² ⇒ t = 2.

This question belongs to: Maths Compound Interest
Question #2
A sum of money yields a compound interest of Rs. 205 in 2 years at 5% per annum. Find the principal sum.
A. Rs. 2400
B. Rs. 2000
C. Rs. 2200
D. Rs. 1800

Correct Answer: Option B


Explanation:
Effective rate of compound interest for 2 years at 5% = 5 + 5 + (55)/100 = 10.25%. Given 10.25% of P = 205 => P = 205 / 0.1025 = Rs. 2000.

This question belongs to: Maths Compound Interest
Question #3
The compound interest on a certain sum for 2 years at 10% per annum is Rs. 420. What would be the simple interest on the same sum at the same rate for the same time?
A. Rs. 380
B. Rs. 400
C. Rs. 390
D. Rs. 410

Correct Answer: Option B


Explanation:
For 2 years at 10%, effective compound interest rate is 10 + 10 + (1010)/100 = 21%. Effective simple interest rate is 10 * 2 = 20%. Given 21% of sum = 420, then 1% of sum = 20. Simple Interest = 20% of sum = 20 * 20 = Rs. 400.

This question belongs to: Maths Compound Interest