Last year, sales at a book store increased from $5,000 to $10,000. This year, sales decreased to $5,000 from $10,000. What percentage did sales increase last year? What percentage did sales decrease this year? Sales increased _____ last year, from $5,000 to $10,000. When sales dropped from $10,000 to $5,000 this year, sales decreased _____ .

Increase
A. 25%
    50%
    75%
    100%

Decrease
B. 25%
    50%
    75%
    100%

Respuesta :

increased 100%, decreased 50%

Answer:


Step-by-step explanation:

Formula

[tex]Percentage = \frac{Change\ in\ value\times 100}{initial\ value}[/tex]

Where

change in value = Final value - initial value.

First find out the percentage of sales incresre from  $5,000 to $10,000.

As given

Last year, sales at a book store increased from $5,000 to $10,000.

Final value = $10000

initial value = $5000

change in value = $10000 - $5000

                           =$5000

Put in the formula

[tex]Percentage = \frac{5000\times 100}{5000}[/tex]

Percentage = 100%

Sales increased 100% last year, from $5,000 to $10,000.

Second find out the percentage of sale decrease to $5,000 from $10,000.

As given

This year, sales decreased to $5,000 from $10,000.

Final value =  $5000

Initial value = $10000

Change in value =  $5000 - $10000

                           = - $5000

(This negative sign shows the decrease percentage.)

Put in the formula

[tex]Decrease Percentage = \frac{5000\times 100}{10000}[/tex]

[tex]Decrease Percentage = \frac{500000}{10000}[/tex]

Decrease Percentage = 50%

When sales dropped from $10,000 to $5,000 this year, sales decreased 50% .