A machine depreciates at 5% per annum. Its present value is Rs. 5415. What was its value 2 years ago? MCQ with Answer and Explanation

A machine depreciates at 5% per annum. Its present value is Rs. 5415. What was its value 2 years ago?
A. Rs. 6000
B. Rs. 6400
C. Rs. 6200
D. Rs. 5800
Answer: Option A
Solution (By JKExamLibrary)
Value 2 years ago = 5415 / (0.95)² = 5415 / 0.9025 = 6000.

This question belongs to: Maths Compound Interest

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Practice More Compound Interest Questions

Question #1 Report Error
The difference between simple interest and compound interest on a certain sum of money for 2 years at 4% per annum is Rs. 16. Find the sum.
A. Rs. 11000
B. Rs. 9000
C. Rs. 12000
D. Rs. 10000

Correct Answer: Option D


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

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. 155. Find the sum.
A. Rs. 4500
B. Rs. 6000
C. Rs. 5000
D. Rs. 5500

Correct Answer: Option C


Explanation:
Difference for 3 years = P * (R/100)^2 * (3 + R/100) => 155 = P * (10/100)^2 * (3 + 10/100) => 155 = P * (1/100) * (3.1) => 155 = P * 0.031 => P = 155 / 0.031 = Rs. 5000.

This question belongs to: Maths Compound Interest
Question #3 Report Error
Find the compound interest on Rs. 75000 at 10% per annum for 2 years.
A. Rs. 17250
B. Rs. 15750
C. Rs. 18000
D. Rs. 16500

Correct Answer: Option B


Explanation:
A = 75000 × (1.1)² = 75000 × 1.21 = 90750, CI = 90750 − 75000 = Rs. 15750.

This question belongs to: Maths Compound Interest