If the expenditures of companies X and Y in 2006 were equal and the total income of two companies in 2006 was Rs. 342 crores, what was the total profit of two companies together in 2006 ? (Profit = Income Expenditure)

In 2006, expenditure of both X & Y are equal

Let expenditure of X & Y = 100x

Profit % of company X = 40%

=> Profit of company X = $$\frac{40}{100}$$*100x = 40x

=> Income of company X = 100x + 40x = 140x [Since, inc = exp+profit]

Profit % of company Y = 45%

=> Profit of company Y = $$\frac{45}{100}$$*100x = 45x

=> Income of company Y = 100x + 45x = 145x [Since, inc = exp+profit]

According to ques, Total income = 140x + 145x = 285x = 342 crore

=> x = 1.2

Total profit for both companies = 40x + 45x = 85*1.2

= 102 crore