Question

A store increases the price of a sweater from $20 to $22.What is the percent of increase?Select from the drop-down menu to correctly complete the statement.
a 0.1
b 0.2
c 2
d 9
e 10
f 20

Answer 1

Answer:

Find out the what is the percent of increase .

To prove

As given

A store increases the price of a sweater from $20 to $22.

Increase in the price = Increase price - Initial price  

                                  = $22 - $20

                                  = $2

Formula

$Percentage = \frac{increase\ in\ price\times 100}{Initial\ price}$

Here initial price = $20

increase in price = $2

put in the formula

$Percentage = \frac{2\times 100}{20}$

$Percentage = \frac{200}{20}$

Percentage = 10%

Therefore the increase in the price is 10% .

Option (e) is correct.

Answer 2

The percent increase can be solve by using the formula:

F = P( 1+ i )

Where F is the new prize of the sweater

P was the old prize of the sweater

i is the fraction increase of the price of the sweater

22 = 20(1+ i)

So i = 0.1

So the percent increase is 0.1 x100 = 10 %