Answer
Price of dress is,\[\$200\].
Work Step by Step
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, \[\$200\].
