Answer :
The retailer sells the air conditioner for $255, and we need to calculate the price at which the retailer purchased it from the wholesaler.
Let's denote the price at which the retailer purchased the air conditioner from the wholesaler as WP (Wholesale Price).
Given:
The wholesaler's cost price (CP) is $132.60.
The wholesaler's markup is 20% of the wholesale selling price.
The retailer's markup is 35% of the retail selling price.
To calculate the retailer's selling price (SP), we can use the following steps:
Step 1: Calculate the wholesale selling price (WSP) by adding the wholesaler's markup to the cost price:
WSP = CP + (Markup Percentage * CP)
WSP = $132.60 + (20% * $132.60)
WSP = $132.60 + $26.52
WSP = $159.12
Step 2: Calculate the retailer's cost price (RP) by dividing the wholesale selling price by (1 + retailer's markup percentage):
RP = WSP / (1 + Markup Percentage)
RP = $159.12 / (1 + 35%)
RP = $159.12 / 1.35
RP ≈ $117.87
Therefore, the retailer purchased the air conditioner from the wholesaler for approximately $117.87.
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