Discussion Forum

If the income of company B in 2010 and 2011 were in the ratio of 2 : 3 respectively, what was the respective ratio of expenditures of that company in these two years?

Answer:

Explanation:

In 2010, 50 = $\frac{2-E_{1}}{E_{1}}\times100$

50E₁ = 200 - 100E₁ = 150E₁ = 200

$E_{1}=\frac{4}{3}$

In 2011, 45 = $\frac{3-E_{2}}{E_{2}}\times100$

45E₂ = 300 - 100E₂

=  145 E₂ = 300

$E_{2}=\frac{300}{145}$

Then, $\frac{E_{1}}{E_{2}} = \frac{4}{3}\times\frac{145}{300}$

$\frac{E_{1}}{E_{2}} = \frac{29}{45}$