Answer to Question #290766 in Algebra for Ella

Question

In a certain year, the advertising expenses were 23.6 % of the total expenses. In the following year, other expenses increase 5.3 %, but the rising of the total expenses can only be 1.25 %. How many percents, in this case, must the company reduce the advertising expenses? The answer has 2 decimals

Answer 1

Advertising expense=23.6%

Following year Other expenses increase by 5.3%

But total expense increase by 1.25%

Let x be the total expense.

Then advertising expense =0.236x

New expense =0.0125x ,new advertising expenses ratio is;

$\frac{0.0125x*0.236x}{x}$

=0.00295x

If 0.236x=1, 0.00295x=?

$\frac{0.00295x*1}{0.236x}$

1.25%

Therefore advertising expenses must reduce 25%