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At the end of April, the price of fuel was 40% greater than

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CEO
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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At the end of April, the price of fuel was 40% greater than [#permalink] New post 10 Jun 2018, 04:38
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Question Stats:

100% (00:46) correct 0% (00:00) wrong based on 4 sessions
At the end of April, the price of fuel was 40% greater than the price at the beginning of the month. At the end of May, the price of fuel was 30% greater than the price at the end of April.

Quantity A
Quantity B
The price increase in April
The price increase in May


A)The quantity in Column A is greater.
B)The quantity in Column 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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CEO
CEO
User avatar
Joined: 07 Jun 2014
Posts: 3819
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 72

Kudos [?]: 1217 [0], given: 257

CAT Tests
Re: At the end of April, the price of fuel was 40% greater than [#permalink] New post 11 Jul 2018, 13:39
Expert's post
Explanation

Call the original price x. At the end of April, the total price was 1.4x. The price increase in April was 1.4x – 1x = 0.4x.

In May, the price increased an additional 30% over April’s final price of 1.4x. Thus, the price at the end of May was (1.3)(1.4)x, or 1.82x. The price increase in May was 1.82x – 1.4x = 0.42x.

Since x is positive, 0.42x (42% of x) is greater than 0.4x (40% of x). Quantity B is greater.

Alternatively, use smart numbers. If the original price was $100, April’s increase would result in a price of $140 and May’s increase would be (1.3)(140) = $182. Thus, April’s increase was $40 and May’s increase was $42. May’s increase will be greater no matter what number is used as the starting price (it is reasonable in GRE problems to assume that a price must be a positive number).
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Re: At the end of April, the price of fuel was 40% greater than   [#permalink] 11 Jul 2018, 13:39
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At the end of April, the price of fuel was 40% greater than

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