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# Airline A and airline B both previously charged $400 for a c  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: GMAT Club Legend Joined: 07 Jun 2014 Posts: 4749 GRE 1: Q167 V156 WE: Business Development (Energy and Utilities) Followers: 93 Kudos [?]: 1650 [0], given: 396 Airline A and airline B both previously charged$400 for a c [#permalink]  10 Jun 2018, 04:40
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Question Stats:

82% (01:09) correct 17% (00:45) wrong based on 17 sessions
Airline A and airline B both previously charged $400 for a certain flight. Airline A then reduced its price by 25%. Airline B responded by reducing its price by 55% but adding$150 in fees. Then, airline A increased its reduced price by 10%.

 Quantity A Quantity B The final price of the flight on airline A The final price of the flight on airline B

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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Intern
Joined: 02 May 2018
Posts: 45
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Kudos [?]: 27 [0], given: 17

Re: Airline A and airline B both previously charged $400 for a c [#permalink] 16 Jun 2018, 15:58 You can reduce both Quantity A and Quantity B into equations and then evaluate from there. Quantity A: $$(400 * .75) + (400 * .75 * .10)$$ Quantity B: $$(400 * .45) + 150$$ Quantity A: $$300 + 30$$ Quantity B: $$180 + 150$$ Quantity A: $$330$$ Quantity B: $$330$$ Quantity A is equivalent to Quantity B. The answer is C. *For those confused about the first step, instead of first calculating the discount and then subtracting it from the original price, I just found out the remaining price by itself. So instead of doing $$400 * .25 = 100$$. $$400-100 = 300$$ to get to 300, I just multiplied $$400 * .75$$ to get 300 to save time. The same goes with Quantity B GMAT Club Legend Joined: 07 Jun 2014 Posts: 4749 GRE 1: Q167 V156 WE: Business Development (Energy and Utilities) Followers: 93 Kudos [?]: 1650 [0], given: 396 Re: Airline A and airline B both previously charged$400 for a c [#permalink]  11 Jul 2018, 15:52
Expert's post
Explanation

Airline A reduced its price by 25% to ($400)(0.75) =$300, but then increased that price by 10% to ($300)(1.1) =$330.

Airline B reduced its fare to ($400)(0.45) =$180, but added $150 in fees, bringing the total price to$180 + $150 =$330.

The two quantities are equal.
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Sandy
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