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Line Charts

The following line graph gives the annual percent profit earned by a Company during the period 1995 - 2000.

Percent Profit Earned by a Company Over the Years.

%Profit = Income - Expenditure x 100
Expenditure

Q1:

If the expenditure in 2000 is 25% more than expenditure in 1997, then the income in 1997 is what percent less than the income in 2000?

A 22.5%

B 25%

C 27.5%

D 31.25%

ANS:C - 27.5%

Let the expenditure is 1997 be x.

Then, expenditure in 2000 = x + (25% of x) = 5 x.
4
Also, let the incomes in 1997 and 2000 be I1 and I2 respectively. Then, for the year 1997, we have:
45 = I1 - x x 100     =>     45 = I1 -1    =>     I1 = 145x = 1.45x.
x 100 x 100
Also, for year 2000, we have:
60 =
( I2 - 5x )
4
x 100     =>     60 = 4I2 - 1     =>     I2 = 160 x 5x = 2x.
( 5x )
4
100 5x 100 4
Difference between the two income = (2x - 1.45x) = 0.55x.
Therefore Percentage by which I1 is less than I2 = ( 0.55x x 100 ) % = 27.5%.
2x



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