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# A discount of 40 percent of the original selling price of an

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A discount of 40 percent of the original selling price of an [#permalink]  21 Feb 2019, 04:15
Expert's post
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Question Stats:

80% (00:38) correct 20% (00:39) wrong based on 15 sessions
A discount of 40 percent of the original selling price of an item reduces the price to \$72.

 Quantity A Quantity B The original selling price of the item \$120

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: A discount of 40 percent of the original selling price of an [#permalink]  21 Feb 2019, 10:34
Expert's post
Carcass wrote:
A discount of 40 percent of the original selling price of an item reduces the price to \$72.

 Quantity A Quantity B The original selling price of the item \$120

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Let x = ORIGINAL selling price

If 40% is taken OFF of the price, then the person is paying 60% of the ORIGINAL selling price
In other words, the NEW price = 60% of x
Since the NEW price is \$72, we can write: 60% of x = 72
Rewrite as: 0.6x = 72
Solve: x = 72/(0.6) = 720/6 = 120

So, the ORIGINAL selling price is \$120

We get:
QUANTITY A: \$120
QUANTITY B: \$120

Cheers,
Brent
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Re: A discount of 40 percent of the original selling price of an   [#permalink] 21 Feb 2019, 10:34
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