Answer:
[tex]25\%[/tex]
Step-by-step explanation:
To find the discount of an object, one must set up the equation, the difference between the original and the paid price, over the original price, equals percent over 100. In essence;
[tex]\frac{(original-paid)}{original}=\frac{percent}{100}[/tex]
Substitute in the given values;
[tex]\frac{(40)-(30)}{40}=\frac{percnet}{100}[/tex]
Solve;
[tex]\frac{10}{40}=\frac{percent}{100}[/tex]
Simplify,
[tex]\frac{1}{4}=\frac{percent}{100}[/tex]
Cross products,
[tex]100 = 4(percent)[/tex]
Inverse operations,
[tex]100=4(percent)\\/4\\\\25 = percent[/tex]
