Discount percent is 20%, Gain percent is 14.2%.
What is discount percent?
Percentage discount is a discount that is given to a product or service that is given as an amount per hundred.
Discount percent = [tex]\frac{Marked price - Selling price}{Marked price}[/tex]
What is gain percent?
Percentage Gain means to express the profit or the gain in the form of percentages.
Gain percent = [tex]\frac{Selling price -Cost price}{Cost price}[/tex]
Given
Marked price of a radio is 25 % above the selling price
Cost price is 30 % less than its marked price
Let selling price be x, then the marked price be 1.25x.
Cost price = 1.25 × (1 - 30%)
= 0.875x
Discount percent = [tex]\frac{Marked price - Selling price}{Marked price}[/tex]
= [tex]\frac{1.25x-x}{1.25x}[/tex]
= [tex]\frac{0.25}{1.25}[/tex]
= 20%
Gain percent = [tex]\frac{Selling price -Cost price}{Cost price}[/tex]
= [tex]\frac{x-0.875x}{0.875x}[/tex]
= 14.2%
Thus, Discount percent is 20%, Gain percent is 14.2%.
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