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A motor pool has 300 vehicles of which 30 percent are trucks. 20 perce

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A motor pool has 300 vehicles of which 30 percent are trucks. 20 perce  [#permalink]

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New post 03 Jan 2016, 12:07
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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%

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Re: A motor pool has 300 vehicles of which 30 percent are trucks. 20 perce  [#permalink]

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New post 06 Jan 2016, 11:07
Bunuel 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%


Given
Vehicles = 300
Trucks = 30%*300 = 90
Diesel Vehicles = 20%*300= 60
Diesel Trucks = 15
Non Diesel Trucks = 90-15 = 75
Other Diesel Vehicles = 45

Solution
Percentage of vehicles neither trucks nor diesel = Total Number of trucks - (Diesel Trucks +Non Diesel Trucks +Other Diesel Vehicles)/Total Number of trucks = 300-(75+15+45)/300= 165/300= 55%

Ans D
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Re: A motor pool has 300 vehicles of which 30 percent are trucks. 20 perce  [#permalink]

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New post 06 Jan 2016, 11:15
Bunuel 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%


Trucks = 30% of 300 = 90
Other Vehicles (Excluding Trucks) = 300-90 = 210

Diesel Vehicle = 20% of 300 = 60 (Including 15 Trucks)
Other Diesel Vehicles (Excluding Trucks) = 60-15 = 45

Trucks that are NOT diesel = 90 - 15 = 75
Other Vehicles that are NOT diesel Vehicles = 210-45 = 165

Required % = (165/300)*100 = 55%

Answer: option D
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Re: A motor pool has 300 vehicles of which 30 percent are trucks. 20 perce  [#permalink]

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New post 06 Jan 2016, 20:34
Bunuel 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%


Total vehicles = 300
Number of Trucks = 90
Number of diesel vehicles = 60

Number of diesel trucks = 15
Number of non diesel trucks = 75

Vehicles that are neither trucks nor diesel = 300 - (trucks) - (diesel vehicles) + (diesel trucks)
We are adding diesel trucks, because the number would be contained in both trucks and diesel vehicles.

Therefore, Vehicles that are neither trucks nor diesel = 300 - 90 - 60 + 15 = 165
% of Vehicles that are neither trucks nor diesel = (165/300)*100 = 55% (Option D)
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Re: A motor pool has 300 vehicles of which 30 percent are trucks. 20 perce  [#permalink]

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New post 27 Mar 2019, 19:00
Bunuel 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%



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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Re: A motor pool has 300 vehicles of which 30 percent are trucks. 20 perce   [#permalink] 27 Mar 2019, 19:00
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