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

Options

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

Answer

To solve the problem "Buy three, get one free" and find the percentage of discount being offered, we can follow these steps:

### Step 1: Understand the Offer
The offer states that if you buy 3 items, you get 1 additional item for free. This means you are effectively receiving 4 items in total but only paying for 3.

### Step 2: Identify the Total Items
In this case, the total number of items you receive is:
- Bought: 3 items
- Free: 1 item
- Total: 3 + 1 = 4 items

### Step 3: Calculate the Cost
Assuming each item costs the same amount, let’s denote the cost of each item as \( C \). Therefore, the total cost for 3 items is:
- Total Cost = 3 * C = 3C

### Step 4: Calculate the Effective Cost per Item
Since you receive 4 items but only pay for 3, the effective cost per item can be calculated as:
- Effective Cost per Item = Total Cost / Total Items = \( 3C / 4 \)

### Step 5: Calculate the Discount
The discount can be calculated by comparing the original price for 4 items to the price you actually pay:
- Original Price for 4 items = 4 * C = 4C
- Discount Amount = Original Price - Total Cost = 4C - 3C = C

### Step 6: Calculate the Percentage Discount
To find the percentage discount, we use the formula:
\[ \text{Percentage Discount} = \left( \frac{\text{Discount Amount}}{\text{Original Price}} \right) \times 100 \]
Substituting the values:
\[ \text{Percentage Discount} = \left( \frac{C}{4C} \right) \times 100 = \left( \frac{1}{4} \right) \times 100 = 25\% \]

### Conclusion
The percentage of discount being offered is **25%**.

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