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Question

A car dealer sold a car at a 10% discount to the list price of $14205 if the car dealer made a profit of 5% after the discount, what is the price of which the car dealer originally bought the car?

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Solution

Dear student,

List price is $14205C.P. of the car = Rs. 4800

Profit%= 5 %

Let the cost price be x.

Profit= 25/100*x

=$. 0.25 x

S.P = 0.25 x + x

= $ 1.25 x

Discount%= 10%

Discount%=Discount/list price*100

20=Discount/14205*100

Discount=20 x 14205 / 100 = $ 2841

S.P=List price - Discount

1.25 x =14205 - 2841

x=$9091.2

Therefore, the dealer originally bought the car for $9091.2

Regards


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