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As per the previous year data, $y can buy x number of items. If the av

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 56251
As per the previous year data, $y can buy x number of items. If the av  [#permalink]

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New post 24 Sep 2018, 01:28
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

79% (01:55) correct 21% (02:05) wrong based on 33 sessions

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Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
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Re: As per the previous year data, $y can buy x number of items. If the av  [#permalink]

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New post 24 Sep 2018, 01:39
Bunuel wrote:
As per the previous year data, $y can buy x number of items. If the average cost of each item increased by 20 percent this year, then the number of items can be bought with $3y equals

(A) x
(B) 1.50x
(C) 2.50x
(D) 3x
(E) 3.50x


$y can buy x number of items
i.e. the average cost of each item = y/x

New Average Cost = 1.2(y/x)

i.e. 1.2y can buy x items
i.e. 3y can buy = (x/1.2y)*3y = 2.5x

Answer: option C
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Re: As per the previous year data, $y can buy x number of items. If the av  [#permalink]

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New post 18 May 2019, 01:15
Bunuel wrote:
As per the previous year data, $y can buy x number of items. If the average cost of each item increased by 20 percent this year, then the number of items can be bought with $3y equals

(A) x
(B) 1.50x
(C) 2.50x
(D) 3x
(E) 3.50x


So the relation is
Cost per item * number of items = total price

avg price = y/x

Increase = (y/x)*1.2

using the relation above

3y * x
-------
y * 1.2

30x
----
12

5x/2

2.5x

hence C
GMAT Club Bot
Re: As per the previous year data, $y can buy x number of items. If the av   [#permalink] 18 May 2019, 01:15
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