A buyer plans to purchase $4,000 (retail) of sweaters. Their first purchase is for 50 sweaters costing $15 each that is planned to retail for $40 each. What percent markup must be obtained on the balance of sweater purchased in order to average a 53% markup?
Total purchase = $4,000
First purchase = 50 sweaters at $15 each
= 50 x 15
= $750
Second purchase = total purchase - first purchase
= 4,000-750
= $3,250
selling price per unit in first purchase unit = $40
Sales revenue from first purchase unit = selling price per unit in first purchase unit x Number of sweaters
= 40 x 50
= $2,000
Total markup required = 53% on cost
= 4,000 x 53%
= $2,120
total sales value = total purchase + Total markup required
= 4,000+2,120
= $6,120
Sales revenue required on second purchase = total sales value - Sales revenue from first purchase unit
= 6,120-2,000
= $4,120
Markup in second purchase = Sales revenue required on second purchase - Second purchase
= 4,120-3,250
= $870
Mark up percentage in second purchase = Markup in second purchase/Second purchase
= 870/3,250
= 26.77% ( rounded to two decimals)
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