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Airline A and airline B both previously charged $400 for a c

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1650 [0], given: 396

CAT Tests
Airline A and airline B both previously charged $400 for a c [#permalink] New post 10 Jun 2018, 04:40
Expert's post
00:00

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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Sandy
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Intern
Intern
Joined: 02 May 2018
Posts: 45
Followers: 0

Kudos [?]: 27 [0], given: 17

Re: Airline A and airline B both previously charged $400 for a c [#permalink] New post 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
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1650 [0], given: 396

CAT Tests
Re: Airline A and airline B both previously charged $400 for a c [#permalink] New post 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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Re: Airline A and airline B both previously charged $400 for a c   [#permalink] 11 Jul 2018, 15:52
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Airline A and airline B both previously charged $400 for a c

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