Question

42. A publisher marks up a textbook by 65%, and a bookstore further marks up the textbook by 40%. What percentage of the original cost do you pay? %

Answer 1

Suppose the textbook costs $1, the first markup by the publisher would yield

`\begin{gathered} \text{Convert 65\% to decimal,} \\ 65\%\rightarrow0.65 \\ \text{then add 1 and multiply it to the textbook cost} \\ 1+0.65=1.65 \\ \$1*1.65=\$1.65 \end{gathered}`

Now do the same thing as above however we apply the markup by the bookstore using $1.65

`\begin{gathered} 40\%\rightarrow0.4 \\ 1+0.4=1.4 \\ \$1.65*1.4=\$2.31 \end{gathered}`

From $1 to $2.31, we can get the percentage by dividing $2.31 to $1 and multiply by 100 percent.

`(\$2.31)/(\$1)*100\%=231\%`

The percentage of the original cost you pay is 231%.