Let x be the regular price. We are told that the sale price corresponds to the 24% of the regular price. That is, if we calculate the 24% of x, we would get the sale price, which is 110.40. Recall that to calculate the 24% of x, we simply multiply x by 24 and divide it by 100. So this expression would be
[tex]x\cdot\frac{24}{100}[/tex]We know that this quantity should be 110.40 so we have the following equation
[tex]x\cdot\frac{24}{100}=110.40[/tex]So, if we multiply both sides by 100, we get
[tex]24\cdot x\text{ =11040}[/tex]Now, we divide both sides by 24, so we get
[tex]x=\frac{11040}{24}=460[/tex]So the original price of the table was 460.
