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04 Oct 2025, 21:14
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B
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Difficulty:
65%
(hard)
Question Stats:
71% (03:19) correct
29%
(03:32)
wrong
based on 75
sessions
History
Date
Time
Result
Not Attempted Yet
A retailer ordered 80 units of a gadget at an initial cost per unit. He planned to sell each unit for $180, which represents a 20% markup over his initial cost per unit. During the season he sold 50 units at the full planned price, sold 20 units at a 10% discount off the planned price, and returned the remaining 10 unsold units to the manufacturer for a refund equal to 40% of the retailer’s initial cost per unit. What was the retailer’s profit or loss, expressed as a percent of the retailer’s total initial cost for the 80 units?
(A) 5% profit
(B) 7% profit
(C) 10% profit
(D) 3% loss
(E) 12% loss
(A) 5% profit
(B) 7% profit
(C) 10% profit
(D) 3% loss
(E) 12% loss
05 Oct 2025, 04:04
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AdarshSambare
Quote:
Let's assume that the initial cost per unit of each gadget is \($x\)
20% markup over his initial cost price = \( $ 1.2*x\)
\(1.2x = 180\)
\(x = $150\)
Total amount paid by the retailer to purchase 80 units of gadgets at $150 per unit =\( $(150*80) = $12000\)
Quote:
Amount earned by the retailer of these 50 units = \($50*180 = $9000\)
Quote:
Price at which each of these 20 units were sold = $0.9*180 = $162
Amount earned by the retailer of these 20 units = \($20*162 = $3240\)
Quote:
Price at which each unit was returned = $\(0.4*150 = 60\)
Amount earned by the retailer from the return of these 10 units = \($10*60= $600\)
Total Amount earned by the retailer from these 80 units = \($(9000+3240+600) = $12840\)
Profit = \($12840 - $12000 = $840\)
Profit Percentage =\( \frac{840}{12000}*100 = 7\) %
Option B
