Respuesta :
Answer:
The price of the MP3 player after adding discount and tax on the market price is $ 22.35
Step-by-step explanation:
The Market price of MP3 player = m. p = $ 29.99
The discount percentage on the player = 20 %
The tax added to cost price = 6.8 %
Let The selling price of player = s.p
Now, From discounted method
Discount % = [tex]\dfrac{m.p - s.p}{m.p}[/tex] × 100
or, 20 = [tex]\dfrac{29.99 - s.p}{29.99}[/tex] × 100
or, [tex]\dfrac{20}{100}[/tex] = [tex]\dfrac{29.99 - s.p}{29.99}[/tex]
or, [tex]\dfrac{20}{100}[/tex] = 1 - [tex]\dfrac{s.p}{29.99}[/tex]
or, [tex]\dfrac{s.p}{29.99}[/tex] = 1 - [tex]\dfrac{20}{100}[/tex]
Or, [tex]\dfrac{s.p}{29.99}[/tex] = [tex]\dfrac{100 - 20}{100}[/tex]
or, [tex]\dfrac{s.p}{29.99}[/tex] = [tex]\dfrac{80}{100}[/tex]
∴ s.p = [tex]\dfrac{80}{100}[/tex] × 29.99
or, s.p = 23.99
So, selling price = s.p = $ 23.99
Now, Again tax added = 6.8 %
So, The price final price of the player after adding tax = $ 23.99 - 6.8 % ×23.99
Or, The price final price of the player after adding tax = $ 23.99 ( 1 - [tex]\dfrac{6.8}{100}[/tex] )
Or, The price final price of the player after adding tax = $ 23.99 × 0.932
Or, The price final price of the player after adding tax = $ 22.35
Hence The price of the MP3 player after adding discount and tax on the market price is $ 22.35 Answer
