The compound interest on Rs. 10000 at 10% per annum for 2 years compounded half-yearly is: MCQ with Answer and Explanation

The compound interest on Rs. 10000 at 10% per annum for 2 years compounded half-yearly is:
A. Rs. 2250
B. Rs. 2200
C. Rs. 2155.06
D. Rs. 2300
Answer: Option C
Solution (By JKExamLibrary)
Half-yearly rate 5%, n=4. A = 10000 × (1.05)⁴ = 10000 × 1.21550625 = 12155.0625, CI = Rs. 2155.06.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
The simple interest on a sum for 3 years at 6% is Rs. 540. The compound interest on the same sum for 2 years at 6% is:
A. Rs. 370.80
B. Rs. 376.00
C. Rs. 380.00
D. Rs. 374.40

Correct Answer: Option A


Explanation:
P = 54000/(6×3) = 3000. CI = 3000[(1.06)² − 1] = 3000 × 0.1236 = Rs. 370.80.

This question belongs to: Maths Compound Interest
Question #2 Report Error
The difference between simple interest and compound interest on a certain sum of money for 3 years at 10% per annum is Rs. 217. Find the sum.
A. Rs. 8000
B. Rs. 7500
C. Rs. 6500
D. Rs. 7000

Correct Answer: Option D


Explanation:
Difference for 3 years = P * (R/100)^2 * (3 + R/100) => 217 = P * (10/100)^2 * (3 + 10/100) => 217 = P * (1/100) * (3.1) => 217 = P * 0.031 => P = 217 / 0.031 = Rs. 7000.

This question belongs to: Maths Compound Interest
Question #3 Report Error
At what rate of compound interest will Rs. 2000 amount to Rs. 2205 in 2 years?
A. 7%
B. 5%
C. 4%
D. 6%

Correct Answer: Option B


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

This question belongs to: Maths Compound Interest