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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 expenditures in 1996 and 1999 are equal, then the approximate ratio of the income in 1996 and 1999 respectively is?

A 1:1

B 2:3

C 13:14

D 9:10

ANS:D - 9:10

Let the expenditure in 1996 = x. Also, let the incomes in 1996 and 1999 be I1 and I2 respectively. Then, for the year 1996, we have:

55 = I1 - x x 100   =>   55 = I1 - 1   =>   I1 = 155x ... (i)
x 100 x 100
70 = I2 - x x 100   =>   70 = I2 - 1   =>   I2 = 170x ... (ii)
x 100 x 100
From (i) and (ii), we get:
    I1 =
( 155x )
100
= 155 => 0.91 => 9 : 10.
I2
( 170x )
100
170 1



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