Answer:
A ) The selling price of radio is $ 81.64
B ) The selling price of microscope is $ 72.94
Step-by-step 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 % = [tex]\dfrac{M.P - S.P}{M.P}[/tex]
Or, [tex]\frac{35}{100}[/tex] = [tex]\dfrac{125.60 - x}{125.60}[/tex]
Or, [tex]\frac{x}{125.60}[/tex] = 1 - [tex]\frac{35}{100}[/tex]
Or, [tex]\frac{x}{125.60}[/tex] = [tex]\frac{100-35}{100}[/tex]
Or, [tex]\frac{x}{125.60}[/tex] = [tex]\frac{65}{100}[/tex]
∴ x = [tex]\frac{125.60\times 65}{100}[/tex]
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 % = [tex]\dfrac{M.P - S.P}{M.P}[/tex]
Or, [tex]\frac{20}{100}[/tex] = [tex]\dfrac{96.25 - y}{96.25}[/tex]
Or, [tex]\frac{y}{96.25}[/tex] = 1 - [tex]\frac{20}{100}[/tex]
Or, [tex]\frac{y}{96.25}[/tex] = [tex]\frac{100-20}{100}[/tex]
Or, [tex]\frac{y}{96.25}[/tex] = [tex]\frac{80}{100}[/tex]
∴ y = [tex]\frac{96.25\times 80}{100}[/tex]
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
