## Thinking Mathematically (6th Edition)

Price of dress is,$\200$.
Let $x$ be the original price of dress. 1stit is reduced by$40%$, therefore, the remaining price of the dress is, $\left( 1-0.4 \right)x=0.6x$ Thus, after 1st reduction price of dress is$0.6x$. After2nd Reduction by $40%$ of reduced price, the price of the dress is, \begin{align} & 0.6\left( 1-0.4 \right)x=0.6\left( 0.6 \right)x \\ & =0.36x \end{align} After 2nd reduction price of dress is$0.36x$. After both the reduction price of dress is $\72$. Therefore, \begin{align} & 0.36x=72 \\ & x=200 \end{align} It means price of dress is $\200$. Hence, the original price of the dress is, $\200$.