Question

the amount of sales at a toy store increases by 30% from May to June and decreases by 10% from June to July. The difference in the amount of sales between May and July is $7,650. What is the difference in the amount of sales between June and July?

Answer 1

Answer: $ 5,850

Step-by-step explanation:

Let the original amount in May be $x$ , since the amount increases by 30% in June , this means that the amount in June will be 130% of $x$.

Amount in June = 1.3$x$

Also , it decreases by 10% from June to July , that is the amount in July will be 90% of 1.3$x$

Amount = 1.17$x$

The difference in the amount of sales between May and July is $7,650. That is

$1.17x - x = 7650$

$0.17x = 7650$

divide through by 0.17

$x = 45,000$

Therefore :

Amount in May = $$45,000$

Amount in June = $1.3(45,000)$ = $ $58,500$

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