At car dealership x...

This topic has expert replies
User avatar
Master | Next Rank: 500 Posts
Posts: 142
Joined: Sat Feb 20, 2010 7:23 pm
Thanked: 8 times
Followed by:1 members

At car dealership x...

by bpgen » Fri Jun 18, 2010 5:52 pm
At car dealership x, the total profit from sales increased by 10% over previous year, while the number of cars sold decreased by 10% over previous year, Approximately, what was the average % increased in profit per car over previous year?

A-18%,
B-20%,
C-22%,
D-23%,
E-25%
"Ambition is the path to success. Persistence is the vehicle you arrive in."

User avatar
Master | Next Rank: 500 Posts
Posts: 142
Joined: Sat Feb 20, 2010 7:23 pm
Thanked: 8 times
Followed by:1 members

by bpgen » Fri Jun 18, 2010 5:55 pm
OA-C
"Ambition is the path to success. Persistence is the vehicle you arrive in."

User avatar
Master | Next Rank: 500 Posts
Posts: 294
Joined: Wed May 05, 2010 4:01 am
Location: india
Thanked: 57 times

by amising6 » Fri Jun 18, 2010 9:12 pm
bpgen wrote:At car dealership x, the total profit from sales increased by 10% over previous year, while the number of cars sold decreased by 10% over previous year, Approximately, what was the average % increased in profit per car over previous year?

A-18%,
B-20%,
C-22%,
D-23%,
E-25%
the total profit from sales previous year be x
the number of cars sold previous year be s
average profit per car=x/s

yhis year
total profit has increased 10 %=1.1x
the number of car sold decreased by 10 % =0.9s

average profit per car=1.1x/0.9s
increase in profit =1.1x/0.9s - x/s=0.2x/s


so increase in % over previous year =(0.2x/s)/(x/s) *100=20 %
Ideation without execution is delusion

User avatar
Legendary Member
Posts: 1460
Joined: Tue Dec 29, 2009 1:28 am
Thanked: 135 times
Followed by:7 members

by selango » Fri Jun 18, 2010 9:27 pm
total profit from sales previous year be 1000
number of cars sold previous year be 100
average profit per car=1000/100=10

this year

total profit has increased 10 %=1100
number of car sold decreased by 10% =90

average profit per car=1100/90=110/9

increase in profit =110/9-10=20/9


increase in % over previous year =20/9/10=20/90=.22

=22%

User avatar
Legendary Member
Posts: 1460
Joined: Tue Dec 29, 2009 1:28 am
Thanked: 135 times
Followed by:7 members

by selango » Fri Jun 18, 2010 9:28 pm
amising6 wrote:
bpgen wrote:At car dealership x, the total profit from sales increased by 10% over previous year, while the number of cars sold decreased by 10% over previous year, Approximately, what was the average % increased in profit per car over previous year?

A-18%,
B-20%,
C-22%,
D-23%,
E-25%
the total profit from sales previous year be x
the number of cars sold previous year be s
average profit per car=x/s

yhis year
total profit has increased 10 %=1.1x
the number of car sold decreased by 10 % =0.9s

average profit per car=1.1x/0.9s
increase in profit =1.1x/0.9s - x/s=0.2x/s [its .22x/s]


so increase in % over previous year =(0.22x/s)/(x/s) *100=22 %