If the incomes of two companies were equal in 2009, then what was the ratio of expenditure of Company X to that of Company Y in 2009 ?

In 2009, let the income of company X = z

Let the income of company Y = z

Let expenditure of company X = x

Profit % of company X = 50%

=> $$\frac{z-x}{x}$$*100 = 50

=> 2z - 2x = x

=> x = $$\frac{2z}{3}$$

Let expenditure of company Y = y

Profit % of company Y = 60%

=> $$\frac{z-y}{y}$$*100 = 60

=> 5z - 5y = 3y

=> y = $$\frac{5z}{8}$$

Ratio of expenditure of company X to that of Y

=> $$\frac{x}{y}$$ = $$\frac{2z/3}{5z/8}$$

= $$\frac{2*8}{3*5}$$ = 16:15