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
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
A motor pool has 300 vehicles of which 30 percent are trucks
This topic has expert replies
-
BTGmoderatorDC
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
GMAT/MBA Expert
-
Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7243
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
We see that there are 300 x 0.3 = 90 trucks.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
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
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
-
deloitte247
- Legendary Member
- Posts: 2214
- Joined: Fri Mar 02, 2018 2:22 pm
- Followed by:5 members
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
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
