The compound interest on a certain sum for 2 years at 5% per annum is Rs. 1230. Find the principal sum. MCQ with Answer and Explanation

The compound interest on a certain sum for 2 years at 5% per annum is Rs. 1230. Find the principal sum.
A. Rs. 12500
B. Rs. 11500
C. Rs. 12000
D. Rs. 13000
Answer: Option C
Solution (By JKSSB Mock Tests)
Effective rate of compound interest for 2 years at 5% = 5 + 5 + (55)/100 = 10.25%. Given 10.25% of P = 1230 => P = 1230 / 0.1025 = Rs. 12000.

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Practice More Compound Interest Questions

Question #1
The difference between compound interest and simple interest on Rs. 12500 for 2 years is Rs. 20. Find the rate of interest per annum.
A. 6%
B. 4%
C. 5%
D. 3%

Correct Answer: Option B


Explanation:
Difference for 2 years = P * (R/100)^2 => 20 = 12500 * (R/100)^2 => 20 = 12500 * R^2 / 10000 => 20 = 1.25 * R^2 => R^2 = 20 / 1.25 = 16 => R = 4%.

This question belongs to: Maths Compound Interest
Question #2
The compound interest on Rs. 5500 at 10% per annum for 2 years is:
A. Rs. 1155
B. Rs. 1265
C. Rs. 1320
D. Rs. 1210

Correct Answer: Option A


Explanation:
A = 5500 × 1.21 = 6655, CI = 6655 − 5500 = Rs. 1155.

This question belongs to: Maths Compound Interest
Question #3
Find the compound interest on Rs. 7200 at 5% per annum for 2 years.
A. Rs. 738
B. Rs. 744
C. Rs. 740
D. Rs. 742

Correct Answer: Option A


Explanation:
A = 7200 × (1.05)² = 7200 × 1.1025 = 7938, CI = 7938 − 7200 = Rs. 738.

This question belongs to: Maths Compound Interest