Question

What is the price for an MP3 player that costs $29.99 has a 20% discount and a 6.8% tax

Answer 1

The price of the MP3 player after adding discount and tax on the market price is $ 22.35

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 % =
`(m.p - s.p)/(m.p)` × 100

or, 20 =
`(29.99 - s.p)/(29.99)` × 100

or,
`(20)/(100)` =
`(29.99 - s.p)/(29.99)`

or,
`(20)/(100)` = 1 -
`(s.p)/(29.99)`

or,
`(s.p)/(29.99)` = 1 -
`(20)/(100)`

Or,
`(s.p)/(29.99)` =
`(100 - 20)/(100)`

or,
`(s.p)/(29.99)` =
`(80)/(100)`

∴ s.p =
`(80)/(100)` × 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 -
`(6.8)/(100)` )

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