Question
Download Solution PDFA dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 39% less than what is written on it. Find his profit percentage.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A dishonest shopkeeper uses a weight that weighs 39% less than what is written.
Formula used:
Profit % = (Gain / Cost Price) × 100
Calculations:
If the shopkeeper promises to sell at cost price, assume the cost price (CP) = ₹100.
The actual weight used is only 61% of the promised weight (100% - 39% = 61%).
Therefore, the shopkeeper gives only 61% of the goods for the cost price.
⇒ Selling Price (SP) of 61% goods = ₹100
⇒ Cost Price (CP) of 61% goods = ₹61
Profit = SP - CP
⇒ Profit = ₹100 - ₹61 = ₹39
Profit % = (Profit / CP) × 100
⇒ Profit % = (39 / 61) × 100
⇒ Profit % = \(63 \frac{57}{61} \%\)
∴ The correct answer is option (4).
Last updated on Jul 8, 2025
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