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Anna is able to buy 5 more articles for $300 after the price of each a

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alphonsa
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Anna is able to buy 5 more articles for $300 after the price of each a [#permalink] New post   04 Sep 2014, 04:53
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Anna is able to buy 5 more articles for $300 after the price of each article decreased by 25%. What is the new selling price of each article?

A) $15
B) $20
C) $60
D) $65
E) $40

Source: 4gmat
Please explain?
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A
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Bunuel
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Re: Anna is able to buy 5 more articles for $300 after the price of each a [#permalink] New post   04 Sep 2014, 05:00
Expert Reply
alphonsa wrote:
Anna is able to buy 5 more articles for $300 after the price of each article decreased by 25%. What is the new selling price of each article?

A) $15
B) $20
C) $60
D) $65
E) $40

Source: 4gmat
Please explain?


p = old price.
n = the number of items for $300 for $p.

pn = (0.75p)(n + 5) --> n = 0.75(n + 5) --> n = 15.

New price = 300/(n + 5) = 15.

Answer: A.
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Re: Anna is able to buy 5 more articles for $300 after the price of each a [#permalink] New post   04 Sep 2014, 10:31
Let the original price be 'x' and 'n' be the number of goods she can buy for $300. ie- (300/x)=n________(1)

Using the statement provided in the question, (300/0.75x)=n+5______________(2)

Solving (1) and (2), x=$20. So the new price is 0.75*20=$15

Answer A
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Re: Anna is able to buy 5 more articles for $300 after the price of each a [#permalink] New post   01 Dec 2016, 19:40
Let's establish our variables:
x = number of books
y = how much each book costs

xy = 300
(x+5)(0.75y) = 300

(3/4)xy+(15/4)y = 300
(3/4)(300)+(15/4)y = 300
(15/4)y = 75
y = $20 (ORIGINAL PRICE) --> new price is 3/4 of this --> Thus, Price is now $15

A.
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Re: Anna is able to buy 5 more articles for $300 after the price of each a [#permalink]
01 Dec 2016, 19:40
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