Of course! Let's solve this step-by-step.
We're given that after a 17% discount on the marked price, an item is sold for ₹ 415. We need to find what the original marked price was before the discount.
Let's denote the marked price by [tex]\( x \)[/tex].
1. Calculate the Discounted Price: With a 17% discount, the price after discount is 83% of the marked price.
So, we can write the equation as:
[tex]\[
0.83x = 415
\][/tex]
2. Solve for the Marked Price:
To isolate [tex]\( x \)[/tex], we need to divide both sides of the equation by 0.83.
[tex]\[
x = \frac{415}{0.83}
\][/tex]
3. Calculate the Division:
Performing the division, we get:
[tex]\[
x = 500
\][/tex]
Therefore, the marked price of the item is ₹ 500.
So, the correct answer is:
4) ₹ 500
