
Shortcut Trick
Profit Percentage = (Error ÷ Weight Sold) × 100
Error = True Weight − False Weight = 250 g − 225 g = 25 g
Profit % = (25 ÷ 225) × 100
Profit % = (1 ÷ 9) × 100 = 11.11%
∴ The correct answer is 11.11%.

Alternate Method
Given:
True Weight = 250 g
False Weight Used = 225 g
Claimed Condition = Selling at Cost Price (CP)

Calculations:
⇒ Let the Cost Price (CP) of 1 g of goods be ₹1.
⇒ The shopkeeper claims to sell 250 g at its CP, which is ₹250.
⇒ Therefore, the Selling Price (SP) of the quantity sold is ₹250.
⇒ However, he actually gives only 225 g to the customer.
⇒ The Actual CP of the quantity sold (225 g) = 225 × 1 = ₹225.
⇒ Profit = SP − CP = 250 − 225 = ₹25.
⇒ Profit Percentage = (Profit ÷ CP) × 100
⇒ Profit % = (25 ÷ 225) × 100
⇒ Profit % = (1 ÷ 9) × 100
⇒ Profit % = 11.11%
∴ The correct answer is 11.11%.

Additional Information
Dishonest Dealer Concept
A dealer is dishonest if he uses a weight less than the true weight. The profit is always calculated on the actual weight delivered to the customer.
Successive Profit/Loss
If a dealer sells at a markup of x% and uses y% less weight, the overall profit % = [(100 + x) ÷ (100 − y) − 1] × 100.
Ratio Method for False Weight
The ratio of CP to SP can be expressed as: CP/SP = (False Weight) / (True Weight), provided the price per unit remains the same.