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%
Accepted Solution
A:
Answer:A ) The selling price of radio is $ 81.64B ) The selling price of microscope is $ 72.94Step-by-step explanation:Given as :A ) Market price of radio = M.P = $ 125.60Let The selling price of radio = S.P = $ xThe 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 = $ 81.64So, The selling price of radio is $ 81.64B ) The market price of microscope = M.P = $ 96.25 The discount = 20 % Tax percentage = 6 %Let the selling price of microscope = $ yNow, 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 = $ 77Again Tax of 6% is addedSo , $ 77 - 6 % of $ 77Or, $ 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 $ 81.64And B ) The selling price of microscope is $ 72.94 Answer