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Last month, company X sold three-quarters of the widgets it produced,

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Bunuel
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Last month, company X sold three-quarters of the widgets it produced, [#permalink] New post   19 Jan 2021, 02:30
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73% (02:31) correct 27% (02:49) wrong based on 187 sessions
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Last month, company X sold three-quarters of the widgets it produced, including two-thirds of its curved widgets. If three-fifths of the widgets that it produces each month are curved, what percent of the widgets that were not sold last month were curved?

A. 60%
B. 70%
C. 75%
D. 80%
E. 90%
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D
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Re: Last month, company X sold three-quarters of the widgets it produced, [#permalink] New post   19 Jan 2021, 03:36
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last month company sold three-quarters of the widgets, So widgets that went unsold = one-quarter
It sold two-third of curved widgets so unsold curved widgets equal one-third of total curved widgets produced.
Now total curved widgets in a batch = three-fifth.
So unsold curved widgets = 1/3*3/5 = 1/5
percentage = unsold curved widgets/total unsold widgets *100
= 1/5/1/4*100 = 4/5*100 = 80%
Answer : D
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Last month, company X sold three-quarters of the widgets it produced, [#permalink] New post   20 Jan 2021, 20:17
Took me an unnecessarily long amount of time.
Here's how I did it.

[3/5x - 2/3(3/5x)] / (x - 3/4x)
= 12/15
= 80%

Answer is D.
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Last month, company X sold three-quarters of the widgets it produced, [#permalink] New post   20 Jan 2021, 21:07
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I floundered around a bit but found picking a number to apply percentages to worked fairly easily.

Assume 1,000 total.
Sold = 75% = 750
Not sold = 25% = 250
Curved produced = 60% = 600
Curved sold = 66.7% of 600 = 400
Curved not sold / Total not sold = (200/250)*100 = 80%

B
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Re: Last month, company X sold three-quarters of the widgets it produced, [#permalink] New post   22 Jan 2021, 02:30
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Bunuel wrote:
Last month, company X sold three-quarters of the widgets it produced, including two-thirds of its curved widgets. If three-fifths of the widgets that it produces each month are curved, what percent of the widgets that were not sold last month were curved?

A. 60%
B. 70%
C. 75%
D. 80%
E. 90%


Veritas Prep Official Explanation



To solve, pick a number that is divisible by 3, 4, and 5, and establish that as the total number of widgets produced last month. (The LCM of 3, 4, and 5 is 60, so use that.) Then fill in, starting with the totals for each group. Then insert 24 in sold and curved, using the fact that two-thirds of 45 were curved. Finally, answer the proper question, which asks what percent of the widgets not sold (15) were curved (12). 12/15 = 80%



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Re: Last month, company X sold three-quarters of the widgets it produced, [#permalink] New post   11 Oct 2023, 08:32
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Re: Last month, company X sold three-quarters of the widgets it produced, [#permalink]
11 Oct 2023, 08:32
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