Question
Download Solution PDFA dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 24% less than what is written on it. Find his profit percentage.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The shopkeeper promises to sell goods at cost price.
He uses a weight that is 24% less than the marked weight.
Calculations:
⇒ Let the marked weight be 100 units (e.g., grams).
⇒ Let the Cost Price (CP) of the goods be ₹1 per unit.
Calculate the Selling Price and Actual Cost Price.
⇒ The shopkeeper receives payment for 100 units of weight.
Selling Price (SP) = 100 units × ₹1/unit = ₹100
⇒ The shopkeeper gives 24% less weight.
Actual Weight given = 100 - (24% of 100) = 100 - 24 = 76 units
⇒ The shopkeeper's Actual Cost Price = 76 units × ₹1/unit = ₹76
⇒ Profit = Selling Price - Actual Cost Price = 100 - 76 = ₹24
⇒ Profit Percentage = (Profit / Actual Cost Price) × 100
⇒ Profit Percentage = (24 / 76) × 100
⇒ Profit Percentage = (6 / 19) × 100 = 600 / 19 % = \(31 \frac{11}{19}\% \)
∴ The shopkeeper's profit percentage is \(31 \frac{11}{19}\% \)
Last updated on Jul 8, 2025
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