The difference between simple interest and compound interest on a certain sum of money for 3 years at 20% per annum is Rs. 640. 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 20% per annum is Rs. 640. Find the sum.
A. Rs. 5000
B. Rs. 6000
C. Rs. 5500
D. Rs. 4500
Answer: Option A
Solution (By JKExamLibrary)
Difference for 3 years = P * (R/100)^2 * (3 + R/100) => 640 = P * (20/100)^2 * (3 + 20/100) => 640 = P * (1/25) * (3.2) => 640 = P * 0.128 => P = 640 / 0.128 = Rs. 5000.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
Find the compound interest on Rs. 20000 for 1 year at 12% per annum, compounded quarterly.
A. Rs. 2400.00
B. Rs. 2510.18
C. Rs. 2550.00
D. Rs. 2600.00

Correct Answer: Option B


Explanation:
Quarterly rate = 12 / 4 = 3%. Time = 4 quarters. Amount = 20000 * (1 + 3/100)^4 = 20000 * (1.03)^4 = 20000 * 1.12550881 = Rs. 22510.18. Compound Interest = 22510.18 - 20000 = Rs. 2510.18.

This question belongs to: Maths Compound Interest
Question #2 Report Error
A sum amounts to Rs. 1331 in 3 years and Rs. 1464.10 in 4 years at compound interest. Find the sum.
A. Rs. 1100
B. Rs. 900
C. Rs. 1000
D. Rs. 800

Correct Answer: Option C


Explanation:
Rate = (1464.10/1331 − 1) × 100 = 10%. P = 1331 / (1.1)³ = 1331 / 1.331 = 1000.

This question belongs to: Maths Compound Interest
Question #3 Report Error
The difference between CI and SI on Rs. 10000 for 2 years at 10% per annum is:
A. Rs. 120
B. Rs. 110
C. Rs. 100
D. Rs. 90

Correct Answer: Option C


Explanation:
Difference = P × (R/100)² = 10000 × 0.01 = Rs. 100.

This question belongs to: Maths Compound Interest