Question
Download Solution PDFA dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 21% less than what is written on it. Find his profit percentage.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The shopkeeper uses a weight that weighs 21% less than the actual weight.
He sells the goods at the cost price (CP).
Formula Used:
Profit Percentage = (Profit / Cost Price) × 100
Calculation:
Let the actual weight be 100 units.
⇒ Weight used by the shopkeeper = 100 - 21 = 79 units
Let the cost price (CP) of 1 unit of goods = ₹1.
Total cost price for 79 units = 79 × 1 = ₹79
Selling Price (SP) of 79 units = Selling Price for 100 units (as he promises to sell at cost price).
⇒ SP = ₹100
Profit = SP - CP
⇒ Profit = 100 - 79 = ₹21
Profit Percentage = (Profit / CP) × 100
⇒ Profit Percentage = (21 / 79) × 100
⇒ Profit Percentage = 26 (46/79)%
Therefore, the shopkeeper's profit percentage is 26 (46/79)%.
Last updated on Jul 8, 2025
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