Problem Solving

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. \(70\%\)

Answer: C

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.)

Answer: C