what is the price

Question

A clothing retail outlet purchased clothes in bulk from a wholesaler for $82,400.00. This was after a discount of 4 3/5% on the purchase. Calculate the original price of the clothes.

Answer 1

4 3/5/ % = 0.046

$82,400 is the discounted price after the 4.6% discount

the original price OP before the discount is 82,400/(.954)= $86,373.17

OP - 0.046OP = 82400

(1-0.046)OP = 82400

OP =82400/(1-0.046) = 82400/.954 = $86,373.17

.046(86,373.17) = 3973.17= the discount

original price minus the discount = the discounted price

86373.17 - 3973.17 = 82400