You went to buy 3 articles worth Rs. 500 each . However , as per the discount sale going on in the shop, you paid for two and got one free. What is the discount percentage in the deal ?
A. `30%`
B. `33%`
C. `33.13%`
D. `33.33% `

Options

A. D
B. A
C. C
D. B

Answer

To find the discount percentage in the deal where you bought 3 articles worth Rs. 500 each, but paid for only 2, we can follow these steps:

### Step-by-Step Solution:

1. **Determine the Cost Price of One Article:**
- The cost price of one article is given as Rs. 500.

2. **Calculate the Total Cost Price of Three Articles:**
- Total cost price for 3 articles = 3 articles × Rs. 500/article
- Total cost price = Rs. 1500.

3. **Calculate the Amount Paid:**
- According to the deal, you pay for 2 articles and get 1 free.
- Amount paid = 2 articles × Rs. 500/article
- Amount paid = Rs. 1000.

4. **Calculate the Discount Received:**
- Discount = Total cost price - Amount paid
- Discount = Rs. 1500 - Rs. 1000
- Discount = Rs. 500.

5. **Calculate the Discount Percentage:**
- Discount percentage = (Discount / Total cost price) × 100
- Discount percentage = (Rs. 500 / Rs. 1500) × 100
- Discount percentage = (1/3) × 100
- Discount percentage = 33.33%.

### Final Answer:
The discount percentage in the deal is **33.33%** (Option D).