A dishonest shopkeepr makes a cheating of 10% at the time of buying the goods 10% cheating at the time of selling the goods, Find the profit %.

Options

A. 0.25
B. 0.28
C. 0.21
D. 0.32

Answer

To solve the problem of the dishonest shopkeeper who cheats 10% while buying and 10% while selling, we can break it down step by step.

### Step 1: Understand the Buying Price
Let's assume the cost price (CP) of the goods is 100 rupees. Since the shopkeeper cheats by 10% while buying, he actually pays only 90% of the cost price.

**Calculation:**
- Effective cost price = CP - (10% of CP)
- Effective cost price = 100 - (10/100 * 100)
- Effective cost price = 100 - 10 = 90 rupees

### Step 2: Understand the Selling Price
Now, when the shopkeeper sells the goods, he again cheats by 10%. He sells the goods at 110% of the marked price (which is based on the effective cost price).

**Calculation:**
- Selling Price (SP) = Effective cost price + (10% of Effective cost price)
- Selling Price = 90 + (10/100 * 90)
- Selling Price = 90 + 9 = 99 rupees

### Step 3: Calculate the Profit
Now we can calculate the profit made by the shopkeeper.

**Calculation:**
- Profit = Selling Price - Effective Cost Price
- Profit = 99 - 90 = 9 rupees

### Step 4: Calculate the Profit Percentage
To find the profit percentage, we use the formula:

**Profit Percentage = (Profit / Effective Cost Price) * 100**

**Calculation:**
- Profit Percentage = (9 / 90) * 100
- Profit Percentage = 0.1 * 100 = 10%

### Final Answer
The profit percentage of the dishonest shopkeeper is **10%**.

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