3. A trader mixes 2 kg of butter which costs PKR 80 per kg with 3 kg of butter which costs PKR 60 per kg . He sells the mixture at PKR 25.5 per 250 g . Express his profit as a percentage of his selling price.
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The Deep Dive
To determine the profit percentage, we first calculate the total cost of the butter mixture. The cost of 2 kg of butter at PKR 80 per kg is 2 * 80 = PKR 160. The cost of 3 kg of butter at PKR 60 per kg is 3 * 60 = PKR 180. Therefore, the total cost is PKR 160 + PKR 180 = PKR 340 for the 5 kg of butter. Next, let's find out the selling price for the entire 5 kg. Since 250 g is equal to 0.25 kg, the price for 1 kg is PKR 25.5 * 4 = PKR 102. Selling 5 kg yields 5 * 102 = PKR 510. Now, the profit is calculated by subtracting the total cost from the selling price: Profit = Selling Price - Total Cost = 510 - 340 = PKR 170. To find the profit percentage relative to the selling price: Profit Percentage = (Profit / Selling Price) * 100 = (170 / 510) * 100 ≈ 33.33%. So, the trader's profit as a percentage of his selling price is approximately 33.33%.