A shopkeeper marks his goods 40% above the CP and gives 25% discount to customer. At the time of selling the goods he uses 800 gm weight instead of 1 kg. Find his profit %.

Options

A. 0.2225
B. 0.2323
C. 0.3125
D. 0.3325

Answer

To solve the problem step by step, we will calculate the cost price, marked price, selling price, and finally the profit percentage.

### Step 1: Assume the Cost Price (CP)
Let’s assume the cost price (CP) of 1 kg (1000 grams) of goods is ₹1000.

### Step 2: Calculate the Marked Price (MP)
The shopkeeper marks his goods 40% above the CP.
- Marked Price (MP) = CP + 40% of CP
- MP = 1000 + (40/100) * 1000
- MP = 1000 + 400 = ₹1400

**Hint:** To find the marked price, remember to add the percentage increase to the original cost price.

### Step 3: Calculate the Selling Price (SP) after Discount
The shopkeeper gives a 25% discount on the marked price.
- Discount = 25% of MP
- Discount = (25/100) * 1400 = ₹350
- Selling Price (SP) = MP - Discount
- SP = 1400 - 350 = ₹1050

**Hint:** To find the selling price after discount, subtract the discount amount from the marked price.

### Step 4: Calculate the Effective Selling Price for 800 grams
Since the shopkeeper uses 800 grams instead of 1 kg, we need to find the effective selling price for 800 grams.
- Selling Price for 800 grams = SP (for 1 kg) * (800/1000)
- Selling Price for 800 grams = 1050 * (800/1000) = ₹840

**Hint:** When calculating the selling price for a different weight, multiply the selling price by the ratio of the actual weight sold to the standard weight.

### Step 5: Calculate the Cost Price for 800 grams
Now, we need to find the cost price for 800 grams.
- Cost Price for 800 grams = CP (for 1 kg) * (800/1000)
- Cost Price for 800 grams = 1000 * (800/1000) = ₹800

**Hint:** Similar to selling price, calculate the cost price for the weight sold by using the ratio of the actual weight to the standard weight.

### Step 6: Calculate Profit
Profit = Selling Price - Cost Price
- Profit = 840 - 800 = ₹40

**Hint:** Profit is simply the difference between the selling price and the cost price.

### Step 7: Calculate Profit Percentage
Profit Percentage = (Profit / Cost Price) * 100
- Profit Percentage = (40 / 800) * 100 = 5%

**Hint:** To find the profit percentage, divide the profit by the cost price and multiply by 100.

### Final Answer
The profit percentage is **5%**.