Neha bought a steel bucket for Rs 576 with a discount of `10%` on the marked price. Find the marked price of the bucket.

Options

A. Rs 620
B. Rs 640
C. Rs 660
D. Rs 680

Answer

To find the marked price of the bucket that Neha bought, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between Selling Price (SP), Marked Price (MP), and Discount:**
- The formula to find the Selling Price when a discount is applied is:
\[ SP = MP - \text{Discount} \]
- Alternatively, we can express the Selling Price in terms of the Marked Price and the discount percentage:
\[ SP = MP \times \left(1 - \frac{\text{Discount \%}}{100}\right) \]

2. **Identify the values from the problem:**
- Selling Price (SP) = Rs 576
- Discount = 10%

3. **Substitute the known values into the formula:**
\[ 576 = MP \times \left(1 - \frac{10}{100}\right) \]
\[ 576 = MP \times 0.9 \]

4. **Solve for the Marked Price (MP):**
- To isolate MP, divide both sides by 0.9:
\[ MP = \frac{576}{0.9} \]

5. **Calculate the value:**
\[ MP = \frac{5760}{9} = 640 \]

6. **Conclusion:**
- The marked price of the bucket is Rs 640.