A customer saves Rs 320 at the rabate of 20% on market price of an article. If the cost price of the article for shopkeeper is 1000, then the profit percent of shopkeeper is :

Options

A. 0.3
B. 0.28
C. 0.2
D. 0.25

Answer

To solve the problem step by step, we will follow the given information and perform the necessary calculations.

### Step 1: Determine the Market Price (MP)
The customer saves Rs 320 with a rebate of 20%. To find the market price (MP), we can set up the equation based on the percentage saved.

Given:
- Savings = Rs 320
- Rebate = 20%

Let the market price be \( MP \).

Since the customer saves 20% of the market price:
\[ \text{Savings} = \frac{20}{100} \times MP \]
\[ 320 = \frac{20}{100} \times MP \]

Now, solve for \( MP \):
\[ MP = \frac{320 \times 100}{20} = 1600 \]

### Step 2: Calculate the Selling Price (SP)
The selling price (SP) can be calculated by subtracting the savings from the market price:
\[ SP = MP - \text{Savings} \]
\[ SP = 1600 - 320 = 1280 \]

### Step 3: Calculate the Profit
The profit can be calculated using the formula:
\[ \text{Profit} = SP - CP \]
Where \( CP \) (Cost Price) is given as Rs 1000.
\[ \text{Profit} = 1280 - 1000 = 280 \]

### Step 4: Calculate the Profit Percentage
The profit percentage can be calculated using the formula:
\[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{CP}\right) \times 100 \]
Substituting the values:
\[ \text{Profit Percentage} = \left(\frac{280}{1000}\right) \times 100 = 28 \]

### Final Answer
The profit percentage of the shopkeeper is 28%.

---