The incomes of companies X and Y in 2010 were in the ratio of 3 : 4 respectively. What was the respective ratio of their expenditures in 2010 ?

Solution

In 2010, let the income of company X = 3z

Income of company Y = 4z

Let expenditure of company X = x

Expenditure of company Y = y

=> Profit of company X = 3z - x

=> Profit % of company X = 65% => 65/100 = (3z - x)/x

=> x = 60z/33

Profit of company Y = 4z - y

=> Profit % of company Y = 50% => 1/2 = (4z - y)/y

=> y = 8z/3

To find : x/y

=>x/y = 60z/33 * 3/8z

= 15:22

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