a number is increased by 20% and then it is decrease by 20% find the net increase or decrease per cent?
Share
a number is increased by 20% and then it is decrease by 20% find the net increase or decrease per cent?
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Question :— A number is increased by 20% and then decreased by 20%. What is the net increase or decrease percent.
Assume that the number is 100. Then, 20% of 100 is 20×100100 = 20. Increasing 100 by 20% means increasing 100 by 20 and the resultant number is 120.
Now the new number is 120. 20% of 120 is 20×120100 = 120/5 = 24. Thus decreasing 120 by 20% means same as subtracting 24 from 120 and the resultant number will be 120 — 24 = 96.
Since 96 is less than 100, the original number, net decrease
=100−96100×100
=4100×100
=4
Thus the net decrease is 4%. It is true for all other numbers.
Let us suppose the number to be x.
As per the first case, the number is increased by 20%
Hence: x+ ((x*20)/100)
Resultant number is ‘6x/5’
As per the second case, resultant number is then decreased by 20%
Hence : (6x/5) - (((6x/5) * 20)/100)
Which is (6x/5) - (6x/25) = 24x/25.
The original number being x, we witness a net decrease in the overall process as (24x/25) is less than x.
Therefore Net decrease_
x - (24x/25)= x/25
Net decrease in percentage= (Net Decrease/ Initial Value) * 100%
Thus, ((x/25)/x) * 100% = 4%
So, the answer is 4%.
[tex] \\ [/tex]
Step-by-step explanation:
Thunderstorm - A rain-bearing cloud that also produces lightning. All thunderstorms are dangerous. Every thunderstorm produces lightning. ... Other associated dangers of thunderstorms include tornadoes, strong winds, hail, and flash flooding.