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)

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. 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. Total profit = Rs. (342 - 240) crores = Rs. 102 crores.