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Francisco’s MP3 player with a capacity of 64 gigabytes (GB)

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GMAT Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Francisco’s MP3 player with a capacity of 64 gigabytes (GB) [#permalink] New post 27 May 2018, 03:55
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Question Stats:

100% (00:43) correct 0% (00:00) wrong based on 3 sessions
Francisco’s MP3 player with a capacity of 64 gigabytes (GB) was three-quarters full. He then deleted 25% of the data saved on the device before saving another 20 GB of new data to the device. The resulting amount of data saved is what percent of the capacity of Francisco’s MP3 player?

(A) 62.5 %
(B) 70 %
(C) 75 %
(D) 87.5 %
(E) 95 %
[Reveal] Spoiler: OA

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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4722
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1630 [0], given: 390

CAT Tests
Re: Francisco’s MP3 player with a capacity of 64 gigabytes (GB) [#permalink] New post 27 May 2018, 13:10
Expert's post
Explanation

If Francisco’s MP3 player is three-quarters full, the current content equals \(\frac{3}{4} \times 64\) GB = 48 GB.

He then deleted 25%, or 12 GB, of that data, reducing the amount of data saved to 48 – 12 = 36 GB.

After saving 20 GB of new data to the device, it holds 36 + 20 = 56 GB. This is \(\frac{56}{64} \times 100 = 87.5%\) of the total capacity.
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Sandy
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Re: Francisco’s MP3 player with a capacity of 64 gigabytes (GB)   [#permalink] 27 May 2018, 13:10
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Francisco’s MP3 player with a capacity of 64 gigabytes (GB)

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