A woman received a discount of 20% on a piece of cloth she purchased from...

A woman received a discount of 20% on a piece of cloth she purchased from a shop. If she paid $525.00, what was the original price?

$\frac{20}{100}$ x $x$ = $x - 525$

$\frac{x}{5} = x$ - 535

x = 5x - 2625

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

x = $656.25

To find the original price of the cloth after a 20\% discount, we can set up the equation:

$\text{Final Price} = \text{Original Price} - \text{Discount}$

Let $ P $ be the original price. Since the woman received a 20\% discount, she paid 80\% of the original price:

$525 = 0.8P$

To find $ P $, divide both sides by 0.8:

$P = \frac{525}{0.8}$

Calculating this gives:

$P = 656.25$

Thus, the original price of the cloth was $\$656.25$.

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