A motor pool has 300 vehicles of which 30 percent are trucks

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Fri May 10, 2019 5:05 pm

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A motor pool has 300 vehicles of which 30 percent are trucks. 20 percent of all the vehicles in the motor pool are diesel, including 15 trucks. What percent of the motor pool is composed of vehicles that are neither trucks nor diesel?

A. 165%
B. 90%
C. 65%
D. 55%
E. 10%

OA D

Source: Princeton Review

Source: Beat The GMAT — Problem Solving | Fri May 10, 2019 5:05 pm

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by Scott@TargetTestPrep » Tue May 14, 2019 6:25 pm

BTGmoderatorDC wrote:A motor pool has 300 vehicles of which 30 percent are trucks. 20 percent of all the vehicles in the motor pool are diesel, including 15 trucks. What percent of the motor pool is composed of vehicles that are neither trucks nor diesel?

A. 165%
B. 90%
C. 65%
D. 55%
E. 10%

OA D

Source: Princeton Review

We see that there are 300 x 0.3 = 90 trucks.

Also, that 0.2 x 300 = 60 are diesel.

We can use the formula:

Total = Trucks + Diesel - Both + Neither

300 = 90 + 60 - 15 + N

300 = 135 + N

165 = N

Since 165/300 = 0.55, we see that 55% of the vehicles are neither trucks nor diesel.

Answer: D

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deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

by deloitte247 » Fri May 17, 2019 6:57 am

Total vehicle = 300; Trucks = 30% of 300 = 90
Diesel vehicles = 20% of 300 = 60
Diesel trucks = 15

Non diesel trucks = 90 - 15 = 75
Other diesel vehicles = 60 - 15 =45

The percentage (%) of vehicles that are neither trucks nor diesel
$$=\frac{\left(\left(300\right)-\left(75+15+45\right)\right)}{300}\cdot\frac{100}{1}$$
$$=\frac{165}{300}\cdot\frac{100}{1}$$
$$=55\ \%$$

Correct choice = Option D

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