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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%

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Bunuel
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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