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Quality Cleaners decides to raise the price of dry cleaning a vest from $5 to $6. The same percent increase is applied to dry cleaning a dress. The old cost of dry cleaning a dress is $12. What is the new cost of dry cleaning a dress?

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tochinwachukwu33

Answer:

$14.4

Step-by-step explanation:

The original price of dry cleaning a vest = $5

The new price of dry cleaning a vest = $6

The percentage increase is obtained by

[tex]\frac{new price-old price}{old price}[/tex]× 100

[tex]\frac{6-5}{5}[/tex]×100 = 20%

hence, there is a 20% increase in price.

applying this 20% increase to the cost of dry cleaning, the new cost will become

[tex]\frac{100+20}{100}[/tex]×12

this is a 120% increase in cost.

mathematically this can be solved by

[tex]\frac{120}{100}[/tex]×12 = $14.4

hence, the new cost of dry cleaning is $14.4

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