A shopkeeper marks his goods at 20% more and offers discount of 10%. And weights 100gm less. Find his over all profit %.

Answer

To solve the problem step by step, we will calculate the overall profit percentage based on the information provided.

### Step 1: Determine the Cost Price (CP)
Assume the cost price of 1000 grams of the item is ₹1000.

### Step 2: Calculate the Marked Price (MP)
The shopkeeper marks his goods at 20% more than the cost price.
- Marked Price (MP) = Cost Price + 20% of Cost Price
- MP = ₹1000 + (20/100) * ₹1000
- MP = ₹1000 + ₹200 = ₹1200

### Step 3: Calculate the Selling Price (SP) after Discount
The shopkeeper offers a discount of 10% on the marked price.
- Discount = 10% of Marked Price
- Discount = (10/100) * ₹1200 = ₹120
- Selling Price (SP) = Marked Price - Discount
- SP = ₹1200 - ₹120 = ₹1080

### Step 4: Adjust for Weight
The shopkeeper sells 900 grams instead of 1000 grams. Since the cost price for 1000 grams is ₹1000, the cost price for 900 grams is:
- Cost Price for 900 grams = (900/1000) * ₹1000 = ₹900

### Step 5: Calculate Profit
Now, we can calculate the profit made by the shopkeeper.
- Profit = Selling Price - Cost Price for 900 grams
- Profit = ₹1080 - ₹900 = ₹180

### Step 6: Calculate Profit Percentage
To find the overall profit percentage, we use the formula:
- Profit Percentage = (Profit / Cost Price) * 100
- Profit Percentage = (₹180 / ₹900) * 100 = 20%

### Final Answer
The overall profit percentage is **20%**.

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