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At car dealership x...

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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%
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by bpgen » Fri Jun 18, 2010 5:55 pm
OA-C
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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 %
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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%
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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 %
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