During festivals, a banner on a shop displays. 'Pay for 3 and get 5'. The discount percentage offered is :

Options

A. `166 (2)/(3) %`
B. `60%`
C. `40%`
D. `66 (2)/(3)%`

Answer

To solve the problem of calculating the discount percentage offered in the "Pay for 3 and get 5" deal, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Offer**:
The offer states "Pay for 3 and get 5". This means that if you pay for 3 items, you will receive 5 items in total.

2. **Identifying the Cost**:
Let's assume the cost price (CP) of each item is the same. If we denote the cost price of one item as \( CP \), then:
- Total cost for 3 items = \( 3 \times CP \)
- Total items received = 5

3. **Calculating the Total Cost and Effective Cost per Item**:
The total cost paid is for 3 items, which is \( 3 \times CP \). The effective cost per item when you receive 5 items is:
\[ \text{Effective Cost per Item} = \frac{3 \times CP}{5} \]

4. **Calculating the Discount**:
The discount is the difference between the original cost for 5 items and the amount paid for 3 items. The original cost for 5 items is:
\[ \text{Original Cost for 5 Items} = 5 \times CP \]
The discount amount is:
\[ \text{Discount} = \text{Original Cost} - \text{Amount Paid} = (5 \times CP) - (3 \times CP) = 2 \times CP \]

5. **Calculating the Discount Percentage**:
The discount percentage can be calculated using the formula:
\[ \text{Discount Percentage} = \left( \frac{\text{Discount}}{\text{Original Cost}} \right) \times 100 \]
Substituting the values we found:
\[ \text{Discount Percentage} = \left( \frac{2 \times CP}{5 \times CP} \right) \times 100 \]
The \( CP \) cancels out:
\[ \text{Discount Percentage} = \left( \frac{2}{5} \right) \times 100 = 40\% \]

### Final Answer:
The discount percentage offered is **40%**.

---