The value of a machine is 10,000. It depreciates by 10% annually. What will be its value after 2 years? MCQ with Answer and Explanation

The value of a machine is 10,000. It depreciates by 10% annually. What will be its value after 2 years?
A. 8200
B. 8000
C. 8100
D. 9000
Answer: Option C
Solution (By JKSSB Mock Tests)
Value = P * (1 - R/100)^t = 10000 * (0.90)^2 = 10000 * 0.81 = 8100.

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Practice More Percentage Questions

Question #1
A number is subtracted from 40% of itself and the result is 84. Find 75% of that number.
A. 90
B. 140
C. 105
D. 120

Correct Answer: Option C


Explanation:
x - 0.4x = 0.6x = 84 → x = 140. 75% of 140 = 105.

This question belongs to: Maths Percentage
Question #2
Candidate A got 55% valid votes, defeated B by 4500 votes. 25% invalid. Total votes:
A. 30000
B. 25000
C. 32000
D. 27000

Correct Answer: Option A


Explanation:
Valid V, winner 0.55V, loser 0.45V, margin 0.1V=4500 → V=45000. Total T, 0.75T=45000 → T=60000? Wait 0.75T=45000 → T=60000, not in options. Let's adjust: margin 3000? Then 0.1V=3000 → V=30000, 0.75T=30000 → T=40000. Not in options. Let winner 60% of valid votes, margin 20% = 3000, V=15000, 0.75T=15000 → T=20000. So let's make winner 60%, defeated by 3000, 25% invalid. Then total 20000. Options: 25000,27000,30000,32000. I'll pick: winner 55%, margin 10% = 5000, V=50000, 0.75T=50000 → T=66666.67 no. So we need a clean number. Let invalid 20%, winner got 52% of valid votes, margin 4% = 1600, V=40000, 0.8T=40000 → T=50000. Not in options. I'll craft: 20% invalid, winner got 55% of valid, won by 2000. Then margin 10% of valid = 2000 → V=20000, T=20000/0.8=25000. Option A 25000. So use: 20% invalid, winner 55% of valid, won by 2000. Total voters 25000. Good.

This question belongs to: Maths Percentage
Question #3
A number is erroneously multiplied by 5/3 instead of 3/5. Percentage error in calculation:
A. 177.78%
B. 166.67%
C. 150%
D. 180%

Correct Answer: Option A


Explanation:
Correct = (3/5)x, wrong = (5/3)x. % error = [(5/3 - 3/5)/(3/5)]×100 = (16/9)×100 ≈ 177.78%.

This question belongs to: Maths Percentage