Question
A merchant possesses 60 identical items, each marked up
by 180% above the cost price. He sells 30 of these items at a 25% discount and the remaining 30 at a 50% discount. Calculate the total profit the seller earns under these conditions, assuming the cost price for each item is consistent.Solution
Let the cost price of each article be Rs. '10x'. So, marked price of each article = 10x X 2.8 = Rs. '28x' Selling price of 30 articles = 28x X 30 X 0.75 = Rs. '630x' Selling price of remaining 30 articles = 28x X 30 X 0.5 = Rs. '420x' So, total selling price = 630x + 420x = Rs. '1050x' And total cost price = 10x X 60 = Rs. '600x' Total profit = 1050x - 600x = Rs. '450x' So, required percentage = (450x/600x) X 100 = 75%
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