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Senior Manager Joined: 20 May 2014
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30% of 50 is what fraction of 75% of 80? Enter your answer a [#permalink] 00:00

Question Stats: 99% (00:38) correct 0% (00:00) wrong based on 7 sessions
30% of 50 is what fraction of 75% of 80?

Enter your answer as a fraction. Fractions do not need to be in their simplest forms.

[Reveal] Spoiler: OA
1/4 Director  Joined: 07 Jan 2018
Posts: 604
Followers: 7

Kudos [?]: 544  , given: 88

Re: 30% of 50 is what fraction of 75% of 80? Enter your answer a [#permalink]
1
KUDOS
let $$a$$ be that fraction then,
$$\frac{30}{100} * 50 = \frac{75}{100} * 80 * a$$
$$100$$ cancels out so
$$30 * 50 = 75 * 80 * a$$
Hence, $$a = 30 * 50/ 75 * 80$$
$$a = \frac{1}{4}$$
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes GRE Instructor Joined: 10 Apr 2015
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Kudos [?]: 1466  , given: 8

Re: 30% of 50 is what fraction of 75% of 80? Enter your answer a [#permalink]
1
KUDOS
Expert's post
Bunuel wrote:
30% of 50 is what fraction of 75% of 80?

Enter your answer as a fraction. Fractions do not need to be in their simplest forms.

[Reveal] Spoiler: OA
1/4

30% of 50
Since 10% of 50 = 5, we can conclude that 30% of 50 = 15

75% of 80
75% = 3/4
So, 75% of 80 = 3/4 of 80 = 60

So, our question becomes: 15 is what fraction of 60?

NOTE: For numeric entry questions involving fractions, ALL EQUIVALENT FRACTIONS are considered correct.

So, we could just enter 15/60 as our answer [since 15 = 15/60 of 60]
Or, if we could simplify 15/60 to get 1/4, which would also be correct.
Or we could enter 100/400 (which is equivalent to 1/4)
Etc

Answers: 1/4, 15/60, 100/400, 2/8, . . . etc [all would be considered correct]

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com Sign up for our free GRE Question of the Day emails

Manager Joined: 27 Feb 2017
Posts: 189
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Kudos [?]: 49 , given: 15

Re: 30% of 50 is what fraction of 75% of 80? Enter your answer a [#permalink]
If we entered 25%, would it be considered correct? Moderator  Joined: 18 Apr 2015
Posts: 5888
Followers: 96

Kudos [?]: 1154  , given: 5471

Re: 30% of 50 is what fraction of 75% of 80? Enter your answer a [#permalink]
1
KUDOS
Expert's post
kruttikaaggarwal wrote:
If we entered 25%, would it be considered correct?

No. It would incorrect. The question asks you to enter a value as a fraction not necessarily in the simple form. Which means if you write 2/8 that is 1/4, then it is correct.

Regards
_________________ Re: 30% of 50 is what fraction of 75% of 80? Enter your answer a   [#permalink] 18 May 2018, 14:45
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