The price of a commodity is increased by x% then decreased by x%. Net decrease is 4%. Find x. MCQ with Answer and Explanation

Question

Share Report Error

The price of a commodity is increased by x% then decreased by x%. Net decrease is 4%. Find x.

A. 20

B. 25

C. 15

D. 10

Answer: Option A

Solution (By JKSSB Mock Tests)

(1+x/100)(1-x/100) = 0.96 → 1 - x²/10000 = 0.96 → x² = 400 → x = 20.

This question belongs to: Maths Percentage

Request complete Subject PDF

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Percentage Questions

Question #1

Salary increased by 15% then decreased by 15%. Net effect:

A. 2.25% decrease

B. 2.25% increase

C. 1.5% decrease

D. No change

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
1.15 × 0.85 = 0.9775, 2.25% decrease.

This question belongs to: Maths Percentage

Question #2

Difference between a number and its 3/5 is 300. 20% of that number:

A. 150

B. 180

C. 100

D. 120

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
x - 0.6x = 0.4x = 300 → x = 750, 20% = 150.

This question belongs to: Maths Percentage

Question #3

A student multiplied a number by 2/3 instead of 3/2. What is the percentage error?

A. 44.44%

B. 50%

C. 66.66%

D. 55.55%

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
True = 3/2x. False = 2/3x. Error = (3/2 - 2/3)x = (5/6)x. % Error = ((5/6) / (3/2)) * 100 = (10/18) * 100 = 55.55%.

This question belongs to: Maths Percentage

Explore All Percentage MCQs