A woman received a 20% discount on a piece of cloth she purchased from a shop. She paid $525.00. We need to find the original price of the cloth.

1. Problem Description

A woman received a 20% discount on a piece of cloth she purchased from a shop. She paid $525.

0

0. We need to find the original price of the cloth.

2. Solution Steps

Let $x$ be the original price of the cloth.

The discount is 20% of the original price, which is $0.20x$.

The price after the discount is the original price minus the discount, which is $x - 0.20x$.

We are given that the price after the discount is $525.

0

0. So, we have the equation:

$x - 0.20x = 525$

Combining the terms with $x$, we get:

$0.80x = 525$

To find the original price $x$, we divide both sides of the equation by 0.80:

$x = \frac{525}{0.80}$

$x = \frac{525}{\frac{8}{10}}$

$x = \frac{525}{\frac{4}{5}}$

$x = 525 \cdot \frac{5}{4}$

$x = \frac{525 \cdot 5}{4}$

$x = \frac{2625}{4}$

$x = 656.25$

3. Final Answer

The original price was $656.

2

5. So the answer is C. $656.25