Question

The bike store marks up the wholesale cost of all of the bikes they sell by 30%.

Answer 1

Answer:

A ) The money which Andre pay for the bike is $ 67.30

B ) The money which Andre pay for the bike is $ 76.92

Step-by-step explanation:

Given as :

The wholesale cost or market price of the bike = m.p = $ 96.15

A ) The discount percentage = 30 %

Let The selling price of the bike after discount = s.p

Now ,

Discount % = $\dfrac{m.p - s. p }{m . p}$

or, 30 % = 1 - $\dfrac{s. p }{m . p}$

or, $\dfrac{30 }{100}$ = 1 - $\dfrac{s. p }{96.15}$

Or, $\dfrac{s. p }{96.15}$ = 1 -  $\dfrac{30 }{100}$

or,  $\dfrac{s. p }{96.15}$ =  $\dfrac{100 - 30 }{100}$

Or,  $\dfrac{s. p }{96.15}$ =  $\dfrac{70}{100}$

Or, s. p = $\dfrac{70}{100}$ × 96.15

∴  s.p = $ 67.305

So, He will pay $ 67.30

Hence The money which Andre pay for the bike is $ 67.30  . Answer

B ) If the bike is discounted by 20 % , let The selling price = s.p'

So,

Discount % = $\dfrac{m.p - s. p }{m . p}$

or, 20 % = 1 - $\dfrac{s. p' }{m . p}$

or, $\dfrac{20 }{100}$ = 1 - $\dfrac{s. p' }{96.15}$

Or, $\dfrac{s. p' }{96.15}$ = 1 -  $\dfrac{20 }{100}$

or,  $\dfrac{s. p' }{96.15}$ =  $\dfrac{100 - 20 }{100}$

Or,  $\dfrac{s. p' }{96.15}$ =  $\dfrac{80}{100}$

Or, s. p' = $\dfrac{80}{100}$ × 96.15

∴  s.p' = $ 76.92

So, He will pay $ 76.92

Hence The money which Andre pay for the bike is $ 76.92  . Answer