Recently when I visited a show room of shoes shopkeeper told me that he could reduce the price of Bata shoes by 49% and if I were to purchase woodland shoes he could reduce the price to 51% of the original price. If the marked price (i.e., printed price) of both the shoes was same, then which shoes was cheap to buy :

Options

A. Woodland
B. Bata
C. both
D. can't say

Answer

To determine which shoes are cheaper to buy, we need to analyze the discounts offered on both the Bata and Woodland shoes.

### Step-by-Step Solution:

1. **Identify the Marked Price**:
Let's assume the marked price of both shoes is \( P \).

2. **Calculate the Discount on Bata Shoes**:
The shopkeeper offers a discount of 49% on Bata shoes.
- The discount amount on Bata shoes = \( 49\% \) of \( P \)
- This can be calculated as:
\[ \text{Discount on Bata} = \frac{49}{100} \times P = 0.49P \]
- Therefore, the selling price of Bata shoes after discount = \( P - 0.49P = 0.51P \).

3. **Calculate the Discount on Woodland Shoes**:
The shopkeeper offers a discount of 51% on Woodland shoes.
- The discount amount on Woodland shoes = \( 51\% \) of \( P \)
- This can be calculated as:
\[ \text{Discount on Woodland} = \frac{51}{100} \times P = 0.51P \]
- Therefore, the selling price of Woodland shoes after discount = \( P - 0.51P = 0.49P \).

4. **Compare the Selling Prices**:
- Selling price of Bata shoes = \( 0.51P \)
- Selling price of Woodland shoes = \( 0.49P \)

5. **Determine Which is Cheaper**:
- Since \( 0.49P < 0.51P \), the Woodland shoes are cheaper than the Bata shoes.

### Conclusion:
The Woodland shoes are cheaper to buy.