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The price of a coat

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The price of a coat [#permalink] New post 23 Jan 2018, 14:45
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Question Stats:

65% (00:43) correct 35% (00:22) wrong based on 20 sessions


The price of a coat is P dollars

Quantity A
Quantity B
Sale price of the coat after 3 separate discounts of 10%
Sale price of the coat after a single discount of 30%


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

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[Reveal] Spoiler: OA

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Re: The price of a coat [#permalink] New post 24 Jan 2018, 02:50
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S.P of Quantity A: 90%(90%(90% of 10)===>7.29
S.P of Quantity B: 70% of 10===> 7

Therefore Quantity A is greater
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Re: The price of a coat [#permalink] New post 24 Jan 2018, 11:00
Exact calculation is unnecessary.
Start by rewriting the quantities (use the interest formula):
A B
0.9³*P 0.7*P
Note that 0.9 to the power of 3 must be bigger than 0.7
---> A is bigger
Re: The price of a coat   [#permalink] 24 Jan 2018, 11:00
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The price of a coat

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