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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
A certain candy manufacturer reduced the weight of Candy Bar M by 20 p
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15 Dec 2022, 08:00
15 Dec 2022, 08:00
Expert Reply
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Question Stats:
100% (01:00) correct
0% (00:00) wrong based on 2 sessions
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A certain candy manufacturer reduced the weight of Candy Bar M by 20 percent buy left the price unchanged. What was the resulting percent increase in the price per ounce of Candy Bar M?
(A) 5%
(B) 10%
(C) 15%
(D) 20%
(E) 25%
(A) 5%
(B) 10%
(C) 15%
(D) 20%
(E) 25%
Re: A certain candy manufacturer reduced the weight of Candy Bar M by 20 p
[#permalink]
16 Dec 2022, 23:40
16 Dec 2022, 23:40
Expert Reply
We are given that a certain candy manufacturer reduced the weight of Candy Bar M by 20 percent but left the price unchanged. If we let w = the original weight of the bar, the new weight is 0.8w = 4w/5. If we let p = the original price of the bar we know:
p/w = the original price per ounce of the bar
p/(4w/5) = 5p/4w = the new price per ounce of the bar
Finally we can determine the resulting percent increase in the price per bar due to the change:
[5p/4w - p/w]/[p/w] x 100
[5p/4w - 4p/4w]/[p/w] x 100
[p/4w]/[p/w] x 100
p/4w x w/p x 100 = 1/4 x 100 = 25%
Answer: E
p/w = the original price per ounce of the bar
p/(4w/5) = 5p/4w = the new price per ounce of the bar
Finally we can determine the resulting percent increase in the price per bar due to the change:
[5p/4w - p/w]/[p/w] x 100
[5p/4w - 4p/4w]/[p/w] x 100
[p/4w]/[p/w] x 100
p/4w x w/p x 100 = 1/4 x 100 = 25%
Answer: E
gmatclubot
Re: A certain candy manufacturer reduced the weight of Candy Bar M by 20 p [#permalink]
16 Dec 2022, 23:40
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