## A major airplane manufacturer announced the sale of $$150$$ small airliners at $$\125$$ million each, $$75$$ medium-siz

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### A major airplane manufacturer announced the sale of $$150$$ small airliners at $$\125$$ million each, $$75$$ medium-siz

by Gmat_mission » Wed Sep 23, 2020 5:53 am

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## Global Stats

A major airplane manufacturer announced the sale of $$150$$ small airliners at $$\125$$ million each, $$75$$ medium-sized airliners at $$\175$$ million each, and $$60$$ large airliners at $$\220$$ million each. What percentage of the company's income came from large and medium airliners?

A. $$29\%$$
B. $$41\%$$
C. $$58\%$$
D. $$69\%$$
E. $$70\%$$

Source: Veritas Prep

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### Re: A major airplane manufacturer announced the sale of $$150$$ small airliners at $$\125$$ million each, $$75$$ medium

by Scott@TargetTestPrep » Mon Sep 28, 2020 11:45 am
Gmat_mission wrote:
Wed Sep 23, 2020 5:53 am
A major airplane manufacturer announced the sale of $$150$$ small airliners at $$\125$$ million each, $$75$$ medium-sized airliners at $$\175$$ million each, and $$60$$ large airliners at $$\220$$ million each. What percentage of the company's income came from large and medium airliners?

A. $$29\%$$
B. $$41\%$$
C. $$58\%$$
D. $$69\%$$
E. $$70\%$$

Solution:

The total sales from small planes, medium planes and large planes are 125 x 150 = $18,750 million, 175 x 75 =$13,125 million, and 220 x 60 = \$13,200 million, respectively. Thus the percentage of the company’s total income that is from large and medium planes is:

(13,125 + 13,200) / (18,750 + 13,125 + 13,200) = 26,325 / 45,075 = 0.58 = 58%

(Note: If you don’t want to calculate the exact percentage, you can observe that the sales from small planes is obviously more than 1/3 of the company’s total income but less than 1/2 of the company’s total income. That means the sales from large and medium planes must be more than 1/2 (50%) and less than 2/3 (67%) of the company’s total income. Therefore, 58% must be the correct answer.)