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Line Charts - General Aptitude

The following line graph gives the percent profit earned by two Companies X and Y during the period 1996 - 2001.

Percentage profit earned by Two Companies X and Y over the Given Years

%Profit = Income - Expenditure x 100
Expenditure

Q1:

If the expenditures of Company X and Y in 1996 were equal and the total income of the two Companies in 1996 was Rs. 342 crores, what was the total profit of the two Companies together in 1996 ? (Profit = Income - Expenditure)

A Rs. 240 crores

B Rs. 171 crores

C Rs. 120 crores

D Rs. 102 crores

ANS:D - Rs. 102 crores

Let the expenditures of each companies X and Y in 1996 be Rs. x crores. And let the income of Company X in 1996 be Rs. z crores.So that the income of Company Y in 1996 = Rs. (342 - z) crores. Then, for Company X we have:

40 = z - x x 100     =>     40 = z - 1     =>     x = 100z .... (i)
x 100 x 140
Also, for Company Y we have:
45 = (342 - z) x 100   =>   45 = (342 - z) - 1   =>  x = (342 - z) x 100 .... (ii)
x 100 x 145
From (i) and (ii), we get:
100z = (342 - z) x 100     =>     z = 168.
140 145
Substituting z = 168 in (i), we get : x = 120. Therefore Total expenditure of Companies X and Y in 1996 = 2x = Rs. 240 crores. Total income of Companies X and Y in 1996 = Rs. 342 crores. Therefore Total profit = Rs. (342 - 240) crores = Rs. 102 crores.