Buy three, get one free. 'What the percentage of discount being offered here?

Options

A. 25
B. 20
C. `28.56`
D. `33.33`

Answer

To find the percentage of discount being offered in the "buy three, get one free" promotion, we can follow these steps:

### Step-by-Step Solution:

1. **Assume the Mark Price of One Article**:
Let the mark price of one article be Rs. 100.

**Hint**: Start by defining a single unit price to make calculations easier.

2. **Calculate the Mark Price of Four Articles**:
Since we are considering the offer of buying three and getting one free, the mark price for four articles will be:
\[ \text{Mark Price of 4 articles} = 4 \times 100 = Rs. 400 \]

**Hint**: Multiply the price of one article by the total number of articles to find the total mark price.

3. **Determine the Amount Paid by the Customer**:
The customer only pays for three articles, so the amount paid is:
\[ \text{Amount Paid} = 3 \times 100 = Rs. 300 \]

**Hint**: Calculate the total cost based on the number of articles actually purchased.

4. **Calculate the Discount Given by the Shopkeeper**:
The discount provided by the shopkeeper can be calculated as:
\[ \text{Discount} = \text{Mark Price of 4 articles} - \text{Amount Paid} = 400 - 300 = Rs. 100 \]

**Hint**: The discount is the difference between the total mark price and the amount paid.

5. **Calculate the Discount Percentage**:
The discount percentage is calculated using the formula:
\[ \text{Discount Percentage} = \left(\frac{\text{Discount}}{\text{Mark Price of 4 articles}}\right) \times 100 \]
Substituting the values we have:
\[ \text{Discount Percentage} = \left(\frac{100}{400}\right) \times 100 = 25\% \]

**Hint**: To find the percentage, divide the discount by the total mark price and multiply by 100.

### Final Answer:
The percentage of discount being offered is **25%**.