A dishonest shopkeeper claims to sell salt at a rate of ₹25/kg. The cost price of the salt is ₹25/kg. Not satisfied with this, he tries to make profit by removing 200 gm from each kg. What is the shopkeeper’s gain percentage?
25%
Solution
A dishonest shopkeeper claims to sell salt at ₹25/kg but removes 200 grams from each kilogram to make a profit. We need to find his gain percentage.
Step 1: Cost Price for 800 grams
The shopkeeper sells only 800 grams instead of 1 kg. Since the cost price of 1 kg is ₹25, the cost price for 800 grams is:
\[ \text{CP for 800 grams} = 25 \times 0.8 = ₹20. \]
Step 2: Selling Price
The shopkeeper sells the 800 grams of salt at the price of 1 kg, which is ₹25. Thus, the selling price (SP) is:
\[ \text{SP} = ₹25. \]
Step 3: Calculate the Gain
The gain is the difference between the selling price and the cost price:
\[ \text{Gain} = \text{SP} - \text{CP} = 25 - 20 = ₹5. \]
Step 4: Find the Gain Percentage
The formula for gain percentage is:
\[ \text{Gain Percentage} = \left( \frac{\text{Gain}}{\text{CP}} \right) \times 100. \]
Substitute the values:
\[ \text{Gain Percentage} = \left( \frac{5}{20} \right) \times 100 = 25\%. \]
Final Answer
The shopkeeper's gain percentage is \( \boxed{25\%} \).
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