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Let the expenditures of each company’s 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:
Then, for Company X we have:
40 = (Z-X)/X ×100 ═>40/100=Z/X-1=>X=100Z/140
Then, for Company Y we have:
45 = (342-z)/X ×100 ═>45/100=(342-Z)/X-1=>X
= ((342-z)×100)/145
Therefore z = 168 and 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.