A boutique offers a premium camera at a 15% reduction from its listed price and sells it for Rs. 4,25,000. What was the camera's listed price before the reduction?

The correct option is Rs. 5,00,000.

Step 1: Understand the relationship between Listed Price, Discount, and Selling Price.
Let the listed price of the camera before reduction be $x$ rupees.
The discount offered on the camera is 15% of the listed price.

Since a 15% reduction is applied, the selling price represents 85% of the original listed price. We can write this relationship as:

$\text{Selling Price}=\text{Listed Price}\times (100\%-15\%)$

$\text{Selling Price}=85\%\text{of Listed Price}$

Step 2: Substitute the given values into the equation.
The given selling price is Rs. 4,25,000.

$\mathrm{4,25,000}=\frac{85}{100}\times x$

Step 3: Solve for the Listed Price ($x$).
Rearranging the formula to isolate $x$:

$x=\frac{\mathrm{4,25,000}\times 100}{85}$

First, simplify $\frac{\mathrm{4,25,000}}{85}$:

$\frac{\mathrm{4,25,000}}{85}=\mathrm{5,000}$

Next, multiply by 100:

$x=\mathrm{5,000}\times 100=\mathrm{5,00,000}$

Therefore, the camera's listed price before the reduction was Rs. 5,00,000.