A dealer lists his articles at 20% above cost price and allows a discount of 10%. His gain per cent is

Options

A. 0.1
B. 0.08
C. 0.09
D. `8 1/4%`

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Determine the Cost Price (CP)
Let the cost price (CP) of the article be Rs 100.

### Step 2: Calculate the Marked Price (MP)
The dealer lists his articles at 20% above the cost price.
- Marked Price (MP) = CP + 20% of CP
- MP = 100 + (20/100) * 100
- MP = 100 + 20
- MP = Rs 120

### Step 3: Calculate the Selling Price (SP) after Discount
The dealer allows a discount of 10% on the marked price.
- Discount = 10% of MP
- Discount = (10/100) * 120
- Discount = 12
- Selling Price (SP) = MP - Discount
- SP = 120 - 12
- SP = Rs 108

### Step 4: Calculate the Gain
Gain = Selling Price (SP) - Cost Price (CP)
- Gain = 108 - 100
- Gain = Rs 8

### Step 5: Calculate the Gain Percentage
Gain Percentage = (Gain / Cost Price) * 100
- Gain Percentage = (8 / 100) * 100
- Gain Percentage = 8%

### Final Answer
The gain percentage is **8%**.

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