Answer :
Answer:
[tex]x = \frac{2000 }{(\frac{a+100}{100})}[/tex]
updated response , given that you confirmed the question....
if the percent is the variable a% then ....
[tex]x*(\frac{a+100}{100}) = 2000[/tex]
[tex]x = \frac{2000 }{(\frac{a+100}{100})}[/tex]
I think that there is missing information here ....
you can make any number work here the result of the number being increased by the percent has to be 2000...
so if if the number is 1000 then the percent would be 100%
if you make the number 1500 then the percent would be 33 1/3 %
Step-by-step explanation:
The number is [tex]\frac{2000}{(1+\frac{a}{100})}[/tex]
What will be the new number when the original number is increased by a% and decreased by 80%?
Let us assume that the number be x.
When the number x is increased by a% the new number will be,
[tex]x(1+\frac{a}{100})[/tex]
Now, this number is decreased by 80%. So, the new number will be,
[tex]x(1+\frac{a}{100})*(1-\frac{80}{100} )\\=x(1+\frac{a}{100})*(1-0.8 )\\=x(1+\frac{a}{100})*0.20[/tex]
By the given condition,
When x increased by a% and decreased by 80% it becomes 400
Therefore, we can write
[tex]x(1+\frac{a}{100})*0.20=400[/tex]
[tex]x(1+\frac{a}{100})=\frac{400}{0.20}[/tex]
[tex]x(1+\frac{a}{100})=2000[/tex]
[tex]x=\frac{2000}{(1+\frac{a}{100})}[/tex]
So, the number will be [tex]\frac{2000}{(1+\frac{a}{100})}[/tex].
Learn more about the percentage change of a number please follow: https://brainly.com/question/26527346
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