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A number is increased by 20% and the increased number is decreased by 20%. Find the increase or decrease percent.
By BYJU'S Exam Prep
Updated on: September 25th, 2023
A number is increased by 20% and the increased number is decreased by 20%. The net percent decrease is 4%. Let x be the number:
Increase in the number = 20% of x
= 20/100 x x
= 15 x x
= x/5
Increased number = x + x/5
= (5x + x)/5
= 6x/5
The resulting figure fell by 20%.
Decrease in the number = 20% of 6x/5
= ⅕ x 6x/5
= 6x/25
New number = 6x/5 – 6x/25
= (30x – 6x)/25
= 24x/25
Net decrease = x – 24x/25
= (25x – 24x)/25
= x/25
Net % decrease = x/25/x x 100
= x/25 x 1/x x 100
= 4%
Table of content
Formula for Percentage
To determine the quantity or percentage of something in terms of 100, use the percentage formula. Percent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
As follows is the percentage formula:
Percentage = (Value ⁄ Total Value) × 100
Hence, the net percentage decreased by 4%
Summary:
A number is increased by 20% and the increased number is decreased by 20%. Find the increase or decrease percent.
20% of a number is added, and 20% of the added number is subtracted. The overall decline is 4%. The formula to calculate the percentage of a quantity in terms of 100 is the ratio of value to total value multiplied by 100.
