A number is increased by 10% and then the new number is decreased by 10%. If the final result is 99, find the original number. MCQ with Answer and Explanation

A number is increased by 10% and then the new number is decreased by 10%. If the final result is 99, find the original number.
A. 90
B. 95
C. 100
D. 105
Answer: Option C
Solution (By JKExamLibrary)
1.1 × 0.9 = 0.99, 0.99x = 99 → x = 100.

This question belongs to: Maths Percentage

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Practice More Percentage Questions

Question #1 Report Error
The price of an article is increased by 25% and then decreased by x%. If the net effect is no change, find x.
A. 22.5
B. 30
C. 20
D. 25

Correct Answer: Option C


Explanation:
1.25 × (1 - x/100) = 1 → 1 - x/100 = 0.8 → x/100 = 0.2 → x=20.

This question belongs to: Maths Percentage
Question #2 Report Error
A number is such that 25% of it is 5 more than 20% of it. Find the number.
A. 100
B. 80
C. 90
D. 120

Correct Answer: Option A


Explanation:
0.25x = 0.2x + 5 → 0.05x = 5 → x = 100.

This question belongs to: Maths Percentage
Question #3 Report Error
In an election, the losing candidate secured 40% of the votes and lost by 1200 votes. What was the total number of votes?
A. 4000
B. 6000
C. 5000
D. 7000

Correct Answer: Option B


Explanation:
Loser = 40%, Winner = 60%. Difference = 20%. 20% of Total = 1200. Total = 1200 * (100 / 20) = 6000.

This question belongs to: Maths Percentage