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If the expenditures of Company X and Y in 1996 were equal...

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) / Expenditure) x 100

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)

Rs. 240 crores

Rs. 171 crores

Rs. 120 crores

Rs. 102 crores

Correct answer is D

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 x 100 => 40/100 = z/x - 1 => x = 100z/140 .... (i)

Also, for Company Y we have: 45 = ((342 - z)/x) x 100 => 45/100 = ((342 - z)/x) - 1 => x = ((342 - z) x 100)/145 .... (ii)

From (i) and (ii), we get:

100z/140 = ((342 - z) x 100)/145 => z = 168

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.

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