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

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Math Expert
Joined: 02 Sep 2009
Posts: 51121
Francisco’s MP3 player with a capacity of 64 gigabytes (GB) was three-  [#permalink]

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08 Jun 2018, 23:10
00:00

Difficulty:

15% (low)

Question Stats:

88% (01:46) correct 12% (02:43) wrong based on 51 sessions

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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 %

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Re: Francisco’s MP3 player with a capacity of 64 gigabytes (GB) was three-  [#permalink]

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09 Jun 2018, 00:24
Bunuel wrote:
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 %

Capacity of Disk = 64 GB

Filled Capacity = (3/4)*64 = 48 GB

Deleted data = (25/100)*48 = 12

Remaining data on Disk = 48 - 12 = 36 GB

New Data added = 20 GB

New Amount of data on Disk = 36+20 = 56 GB

Resulting data as % of disk capacity = (56/64)*100 = 87.5%

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Re: Francisco’s MP3 player with a capacity of 64 gigabytes (GB) was three-  [#permalink]

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09 Jun 2018, 06:03
Bunuel wrote:
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 %

Capacity of Disc=64GB
Data saved originally=$$\frac{3}{4}$$*64=48 GB
Resultant amount of data saved=48-48*0.25+Additional 20 G=48-12+20=56GB

% of resultant data saved=$$\frac{Resultant data saved}{Capacity of disk} * 100$$=$$\frac{56}{64}*100$$=87.5%

Ans. option (D)
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Posts: 519
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Re: Francisco’s MP3 player with a capacity of 64 gigabytes (GB) was three-  [#permalink]

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10 Jun 2018, 00:54
Bunuel wrote:
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 %

Given Total Capacity = 64 GB

Final Saved data = 64*(3/4)*(3/4) + 20 = 56 GB

% Data saved = (56/64) * 100 = 87.5%

Thanks,
GyM
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Joined: 10 Jun 2018
Posts: 54
Location: Australia
Concentration: Technology, General Management
GPA: 2.88
WE: Science (Pharmaceuticals and Biotech)
Re: Francisco’s MP3 player with a capacity of 64 gigabytes (GB) was three-  [#permalink]

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10 Jun 2018, 02:09
I calculated 3/4 (storage used initially) * 3/4 (storage after deleting) first, to give 9/16. Since 64gb happens to easily divide 16 to get 4, it’s simple math to then figure out that 9*4=36gb was left after deleting some data. Add 20gb onto that and you get 56gb.

64 is 8^2 (or 8*8 if you prefer). 64-56=8, so 1/8th was left, or alternatively, 7/8th of the storage was full. I just happen to know that 1/8=12.5% because I work with percentages and fractions a lot, but I suppose it would’t be hard to calculate what 7/8 is as a percentage. Either way 7/8=87.5%.

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Re: Francisco’s MP3 player with a capacity of 64 gigabytes (GB) was three- &nbs [#permalink] 10 Jun 2018, 02:09
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