Aguitarist earns a royalty of 22% of the selling price of a cd. if he earns $2.64 on each cd sold, what is the selling price of the cd?

Answer-

The selling price of the CD is $12

Solution-

Given that, a guitarist earns a royalty of 22% of the selling price of a CD, which is $2.64.

Let us assume that the selling price of the CD is x

So the royalty he would be getting after each sell is,

According to the question,

Therefore, the selling price of CD is $12

47 - 90 = 43

43 - 180 = x

x = 137

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4