Dima called her friend to tell her that she saved 30% on her new skirt at a discount store. Her friend told her that she could have gotten a better deal at a different store that was advertising a sale of mc019-1.jpg off all clothing. If the original price of Dima’s skirt was $54, how much more could she have saved at the store her friend suggested?

Respuesta :

Since the rate of the other store is not given, let us just get the sales price of the skirt Dima bought from the discount store.

Original price : $54
Discount rate : 30%

$54 x 30% = $16.20 value of the discount
$54 - 16.20 = $37.80 discounted price.

Since Dima's friend told her she could have had a better deal at a different store, this means that the discount rate is higher than 30%. Let us assume that the discount is 35%

$54 x 35%  = $18.90 value of the discount
$54 - 18.90 = $35.10 discounted price.

Discount store: $37.80
Different store: $35.10

Different store sales price is cheaper by $2.70

The amount that Dima will save if she goes to that store is $16.20

How much more could she have saved at the store her friend suggested?

The suggested discount is of 30%.

This means that if the original price is P, the amount that you save is equal to the product between the original price and the percentage in decimal form.

Then if the original price of the skirt is $54, then the amount that Dima saves is:

S = $54*(30%/100%) = $16.20

We conclude that Dima saves $16.20

If you want to learn more about percentages.

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