Answer: $ 5,850
Step-by-step explanation:
Let the original amount in May be [tex]x[/tex] , since the amount increases by 30% in June , this means that the amount in June will be 130% of [tex]x[/tex].
Amount in June = 1.3[tex]x[/tex]
Also , it decreases by 10% from June to July , that is the amount in July will be 90% of 1.3[tex]x[/tex]
Amount = 1.17[tex]x[/tex]
The difference in the amount of sales between May and July is $7,650. That is
[tex]1.17x - x = 7650[/tex]
[tex]0.17x = 7650[/tex]
divide through by 0.17
[tex]x = 45,000[/tex]
Therefore :
Amount in May = $[tex]45,000[/tex]
Amount in June = [tex]1.3(45,000)[/tex] = $ [tex]58,500[/tex]
Amount in July = 1.17 ( 45,000 ) = $52,650
the difference in the amount of sales between June and July will be
$58,500 - $ 52 , 650 = $ 5,850
