Question

Abisha's favorite shoe store marks up their shoe prices by 47% from what they paid the manufacturer. At the store, Abisha bought a new pair of shoes for $102, after applying a $18 off coupon. What was the manufacturer's price for the shoes?

Answer 1

Price at which Abisha bought her new pair of shoes=$102

Coupon that was applied on the price of shoes =$18

Cost of Abisha's shoes before the coupon :-

$= 102 + 18$

$= 120$

Thus, the selling price of the shoes before the coupon was applied=$120

Let the price at which the shop bought the shoes from the manufacturer be x.

Percentage of increase in the price of the shoes bought from the manufacturer =47%

Which means :-

$= x + \frac{47}{100} \times x = 120$

$= x + \frac{47x}{100} = 120$

$= 100x + \frac{47x}{100} = 120$

$= \frac{100x + 47x}{100} = 120$

$= \frac{147x}{100} = 120$

$= 147x = 120 \times 100$

$= 147x = 12000$

$= x = \frac{12000}{47}$

$= x = \ \: 81$

Thus, the price charged for the shoes by the manufacturer is $ 81

Therefore, the manufacturer's price for the shoes =$81