Line Charts Line Chart - 3

Profit percent of Company Y in 1997 = 35.

Let the income of Company Y in 1997 be ₹ x crores.

Then, 35 =	x - 220	x 100         x = 297.
	220

Income of Company Y in 1997 = ₹ 297 crores.

Let the incomes in 2000 of Companies X and Y be 3x and 4x respectively.

And let the expenditures in 2000 of Companies X and Y be E₁ and E₂ respectively.

Then, for Company X we have:

65 =	3x - E1	x 100	65	=	3x	- 1
	E1		100		E1

 E1 = 3x x  (100/165) ...(i)

For Company Y we have:

50 =	4x - E2	x 100	50	=	4x	- 1
	E2		100		E2

 E2 = 4x x (100/150) .... (ii)

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

E1	=	3x x 100 165	=	3 x 150	=	15
E2		4x x 100 150		4 x 165		22

(Required ratio).

Let the expenditures of each companies X and Y in 1996 be ₹ x crores.

And let the income of Company X in 1996 be ₹ z crores.

So that the income of Company Y in 1996 = ₹ (342 - z) crores.

Then, for Company X we have:

40 =	z - x	x 100	40	=	z	- 1
	x		100		x

   x = (100z/140) ....(i)

Also, for Company Y we have:

45 = (342 - z) x 100 / x

			45	=	(342 - z)	- 1
			100		x

  x = (342 -z) x(100) /(145) ..... (ii)

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 

     = ₹ 240 crores.

Total income of Companies X and Y in 1996 

    = ₹ 342 crores.

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

Let the incomes of each of the two Companies X and Y in 1999 be Rs. x.

And let the expenditures of Companies X and Y in 1999 be E₁ and E₂ respectively.

Then, for Company X we have:

50 =	x - E1	x 100	50	=	x	- 1
	E1		100		E1

  x = 150E1 /100 .... (i)

Also, for Company Y we have:

60 =	x - E2	x 100	60	=	x	- 1
	E2		100		E2

 x = 160E2 / 100 ... (ii)

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

150	E1 =	160	E2	E1	=	160	=	16
100		100		E2		150		15

(Required ratio).

Let the income of Company X in 1998 be ₹ x crores.

Then, 55 =	x - 200	x 100         x = 310.
	200

Expenditure of Company X in 2001

= Income of Company X in 1998

= ₹ 310 crores.

Let the income of Company X in 2001 be ₹z crores.

Then, 50 =	z - 310	x 100      z = 465.
	310

Income of Company X in 2001 = ₹ 465 crores.