The difference between simple interest and compound interest on a certain sum of money for 3 years at 10% per annum is Rs. 93. Find the sum. MCQ with Answer and Explanation

The difference between simple interest and compound interest on a certain sum of money for 3 years at 10% per annum is Rs. 93. Find the sum.
A. Rs. 2000
B. Rs. 3500
C. Rs. 2500
D. Rs. 3000
Answer: Option D
Solution (By JKExamLibrary)
Difference for 3 years = P * (R/100)^2 * (3 + R/100). Given 93 = P * (10/100)^2 * (3 + 10/100) => 93 = P * (1/100) * (3.1) => 93 = P * 0.031 => P = 93 / 0.031 = Rs. 3000.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
The compound interest on Rs. 12000 at 5% per annum for 2 years is:
A. Rs. 1260
B. Rs. 1200
C. Rs. 1290
D. Rs. 1230

Correct Answer: Option D


Explanation:
A = 12000 × (1.05)² = 12000 × 1.1025 = 13230, CI = 13230 − 12000 = Rs. 1230.

This question belongs to: Maths Compound Interest
Question #2 Report Error
The compound interest on a certain sum for 2 years at 12% per annum is Rs. 508.80. Find the principal sum.
A. Rs. 2000
B. Rs. 1800
C. Rs. 2200
D. Rs. 2400

Correct Answer: Option A


Explanation:
Effective rate of compound interest for 2 years at 12% = 12 + 12 + (1212)/100 = 25.44%. Given 25.44% of P = 508.80 => P = 508.80 / 0.2544 = Rs. 2000.

This question belongs to: Maths Compound Interest
Question #3 Report Error
What is the compound interest on Rs. 60000 for 1 year at 12% per annum, compounded half-yearly?
A. Rs. 7600
B. Rs. 7500
C. Rs. 7200
D. Rs. 7416

Correct Answer: Option D


Explanation:
Half-yearly rate = 12/2 = 6%. Time = 2 half-years. Amount = 60000 * (1 + 6/100)^2 = 60000 * 1.1236 = Rs. 67416. Compound Interest = 67416 - 60000 = Rs. 7416.

This question belongs to: Maths Compound Interest