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# At a certain store, the retail price for a blouse is double the retail

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Re: At a certain store, the retail price for a blouse is double the retail [#permalink]
Bunuel wrote:
At a certain store, the retail price for a blouse is double the retail price for a T-shirt. If Beth buys a blouse at a 50% discount and a T-shirt at a 25% discount, the amount Beth pays is approximately what percent of the amount she would have paid had there been no discounts?

A 58%

B 50%

C 38%

D 30%

E 25%

We can let the price of the T-shirt = \$12 and the price of the blouse = \$24.

If the blouse is 50% off, the new price is \$12, and if the T-shirt is 25% off, the new price is 12 x 0.75 = \$9.

So the amount paid for the sale items is (12 + 9)/(24 + 12) = 21/36 = 7/12 ≈ 58% of the amount she would have paid had there been no discounts.