Answer :
Given:
The price of shoes after discount = 27
Discount % = 40%
To find:
The original price of shoes before discount.
Solution:
Let x be the original price of shoes before discount.
The price of shoes after 40% discount is
[tex]\text{New price}=x-\dfrac{40}{100}\times x[/tex]
[tex]\text{New price}=x-0.4x[/tex]
[tex]\text{New price}=0.6x[/tex]
The price of shoes after discount = 27
[tex]27=0.6x[/tex]
[tex]\dfrac{27}{0.6}=x[/tex]
[tex]45=x[/tex]
Therefore, the original price of the shoes is 45.