Question

Find the selling price for each item.

Original price of a radio: $125.60 Discount: 35%
Cost of a microscope: $96.25 Markup: 20% Tax 6%

Answer 1

A ) The selling price of radio is $ 81.64

B ) The selling price of microscope is $ 72.94

Explanation:

Given as :

A ) Market price of radio = M.P = $ 125.60

Let The selling price of radio = S.P = $ x

The discount = 35 %

So, Discount % =
`(M.P - S.P)/(M.P)`

Or,
`(35)/(100)` =
`(125.60 - x)/(125.60)`

Or,
`(x)/(125.60)` = 1 -
`(35)/(100)`

Or,
`(x)/(125.60)` =
`(100-35)/(100)`

Or,
`(x)/(125.60)` =
`(65)/(100)`

∴ x =
`(125.60* 65)/(100)`

I.e x = $ 81.64

So, The selling price of radio is $ 81.64

B ) The market price of microscope = M.P = $ 96.25

The discount = 20 %

Tax percentage = 6 %

Let the selling price of microscope = $ y

Now, So, Discount % =
`(M.P - S.P)/(M.P)`

Or,
`(20)/(100)` =
`(96.25 - y)/(96.25)`

Or,
`(y)/(96.25)` = 1 -
`(20)/(100)`

Or,
`(y)/(96.25)` =
`(100-20)/(100)`

Or,
`(y)/(96.25)` =
`(80)/(100)`

∴ y =
`(96.25* 80)/(100)`

I,e y = $ 77

Again Tax of 6% is added

So , $ 77 - 6 % of $ 77

Or, $ 77 × 0.94 = $ 72.38

∴ The final cost of microscope after discount and tax is $ 72.94

Hence A ) The selling price of radio is $ 81.64

And B ) The selling price of microscope is $ 72.94 Answer