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Question from stephanie, a student:

A car is marked up 30% from its wholesale price. During a sale the retail price is reduced by 20%. What percent higher is the sale price from the wholesale price.

Hi Stephanie,

If the wholesale price is $W and you mark it yo 30% then the retail price $R is given by

$R = $W + 0.30 × $W = 1.3 × $W.

If the retail price is $R and you reduce it by 20% then the sal price $S is given by

$S = $R - 0.20 × $R = 0.80 × $R.

Hence the sale price is

$S = 0.80 × $R = 0.80 ×1.3 × $W

Penny

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