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

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Math Expert
Joined: 02 Sep 2009
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At a certain store, the retail price for a blouse is double the retail  [#permalink]

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22 Jan 2019, 22:29
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Difficulty:

15% (low)

Question Stats:

94% (01:49) correct 6% (02:01) wrong based on 25 sessions

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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%

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Manager
Joined: 28 Jun 2018
Posts: 74
Re: At a certain store, the retail price for a blouse is double the retail  [#permalink]

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22 Jan 2019, 23:08
Take retail price of Blouse = 200 and Shirt = 100.
Total paid without discount = 300

50% discount on blouse = 200 x 50/100 = 100
25% discount on shirt = 75/100 x 100 = 75
Total paid with discount = 175

Finally, 175/ 300 x 100 = 58.something

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Re: At a certain store, the retail price for a blouse is double the retail  [#permalink]

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23 Jan 2019, 04:59
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%

tshirt = 20
blouse = 40
so buying at discount t shirt = 5 and blouse = 20 total 25
actual price 60

60-25/60 = 58 %
IMO A
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Re: At a certain store, the retail price for a blouse is double the retail  [#permalink]

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27 Jan 2019, 09:56
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.

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Re: At a certain store, the retail price for a blouse is double the retail   [#permalink] 27 Jan 2019, 09:56
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