An under armour shirt is listed at $65 with a discount of 5%. A similar shirt by fila sells for $85 with a discount of 8% and 3%. Calculate the additional % discount fila must give, to match the price of the under armour shirt

To match the armour shirt, fila will give additional discount of 18.6%

Step-by-step explanation:

For the armour shirt, 5% of $65 is

(5/100) * 65 = $3.25

The actual selling price of armour shirt is $65 - $3.25 = $61.75

If Fila first give 8% discount, and then 3%, then we will have

(8/100) * 85 = $6.80

The price will be $85 - $6.80 = $78.2

Then 3% of $78.20 is

(3/100) * 78.20 = $2.35

New price is $78.20 - $2.35 = $75.85

The addition % discount will be ($75.85 - $61.75) / $75.85 * 100%

= (14.1/75.85) * 100

≈ 18.6%