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?
A
$675.25
B
$660.25
C
$656.25
D
$616.25
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\frac{20}{100}\) x \(x\) = \(x - 525\)
\(\frac{x}{5} = x\) - 535
x = 5x - 2625
\(\frac{4x}{4} = \frac{2625}{4}\)
x = $656.25
OR
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 \(\$656.25\).
Source: Myschool Past Questions Archive (Record #58402)