Question

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%

Answer 1

increased 100%, decreased 50%

Answer 2

Explanation:

Formula

`Percentage = (Change\ in\ value* 100)/(initial\ value)`

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

`Percentage = (5000* 100)/(5000)`

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

`Decrease Percentage = (5000* 100)/(10000)`

`Decrease Percentage = (500000)/(10000)`

Decrease Percentage = 50%

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