Original cost of antique clock = $500
Mark up = 155%
New cost of the antique clock after mark up is:
[tex]\begin{gathered} (100+155)\text{ \% }\times\text{ \$500 } \\ =255\text{\%}\times\text{ \$500} \\ =\text{ \$1275} \end{gathered}[/tex]Emma paid an additional 8% in sales tax. The new cost price as at the time Emma bought the antique clock is $1275. Hence, the sales tax on the cost of the antique clock is:
[tex]8\text{\%}\times\text{ \$1275}=\text{ \$102}[/tex]Therefore, her total cost for the antique is the addition of the cost of the antique and the sales tax
[tex]\text{ \$1275+ \$102 =\$1377}[/tex]Her total cost for the antique clock is $1377