A clothing store sold three dresses, D1, D2, and D3, whose selling prices were in the ratio 3:4:5. They made a profit of 20% on D1, a loss of 10% on D2, and a profit of 20% on D3. What was the total profit percentage for the entire sale?
Show answer & explanation
Correct answer: A
Explanation
Total Profit % = 8%
Working:
Let SP1 = 3k, SP2 = 4k, SP3 = 5k
CP1 = SP1/1.2 = 3k/1.2 = 2.5k = 45k/18
CP2 = SP2/0.9 = 4k/0.9 = 40k/9 = 80k/18
CP3 = SP3/1.2 = 5k/1.2 = 25k/6 = 75k/18
Total CP = (45k+80k+75k)/18 = 200k/18 = 100k/9
Total SP = 3k+4k+5k = 12k = 108k/9
Profit = Total SP - Total CP = (108k-100k)/9 = 8k/9
Profit % = (8k/9)/(100k/9) × 100 = 8%