A number is increased by x% and then decreased by x%. The net decrease is 4%. Find x. MCQ with Answer and Explanation

A number is increased by x% and then decreased by x%. The net decrease is 4%. Find x.
A. 18
B. 20
C. 15
D. 10
Answer: Option B
Solution (By JKSSB Mock Tests)
(1 + x/100)(1 - x/100) = 1 - (x²/10000) = 0.96 → x² = 400 → x = 20.

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Practice More Percentage Questions

Question #1
A man can row 9 kmph in still water. It takes him twice as long to row up as to row down the river. Find the rate of the stream.
A. 2.5 kmph
B. 3.5 kmph
C. 2 kmph
D. 3 kmph

Correct Answer: Option D


Explanation:
Let stream = s. Speed up = 9-s, down = 9+s. Time up = 2 × time down → distance/(9-s) = 2×distance/(9+s) → 9+s = 2(9-s) → 9+s=18-2s → 3s=9 → s=3 kmph.

This question belongs to: Maths Percentage
Question #2
A dishonest dealer sells goods at 10% profit but uses a weight of 800 g for 1 kg. Find his overall profit percent.
A. 32.5%
B. 30%
C. 37.5%
D. 35%

Correct Answer: Option C


Explanation:
CP per g = 1, SP per g = 1.1. For 800 g, CP=800, SP=1000×1.1? Actually, he sells 800 g as 1 kg, so SP for 800 g = price of 1 kg at 10% profit = 1.1 times CP of 1 kg. Let CP of 1 kg = 1000, SP=1100. But he gives only 800 g, so CP=800, SP=1100. Profit = 300, % = (300/800)×100 = 37.5%.

This question belongs to: Maths Percentage
Question #3
Increase 600 by 15%. Result is:
A. 690
B. 670
C. 680
D. 660

Correct Answer: Option A


Explanation:
600 × 1.15 = 690.

This question belongs to: Maths Percentage