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30% of 50 is what fraction of 75% of 80? Enter your answer a

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30% of 50 is what fraction of 75% of 80? Enter your answer a [#permalink] New post 20 Nov 2017, 10:36
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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
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Re: 30% of 50 is what fraction of 75% of 80? Enter your answer a [#permalink] New post 01 Apr 2018, 01:46
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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, \(a = 30 * 50/ 75 * 80\)
\(a = \frac{1}{4}\)
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Re: 30% of 50 is what fraction of 75% of 80? Enter your answer a [#permalink] New post 17 May 2018, 06:48
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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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Re: 30% of 50 is what fraction of 75% of 80? Enter your answer a [#permalink] New post 17 May 2018, 21:31
If we entered 25%, would it be considered correct?
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Re: 30% of 50 is what fraction of 75% of 80? Enter your answer a [#permalink] New post 18 May 2018, 14:45
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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.

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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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