Charmaine bought a pair of shoes at a 30% discount and paid

[AAPL]

Charmaine bought a pair of shoes at a 30% discount and paid $22.50 less than the original price. What was the original price of the pair of shoes?

A. $60
B. $68
C. $72
D. $75
E. $81

The OA is D.

Let original price be = x.
Price after 30% discount = 70% of x = x - $22.50
0.7x = x - 22.50
0.3x = 22.50
x = 22.50/0.3 = $75.

Has anyone another strategic approach to solve this PS question? Regards!

[Shahrukh@mbabreakspace]

If the price is P, then discount=0.3P, also this is equal to 22.50
So, 0.3P=22.50
=>P=75

[Jeff@TargetTestPrep]

Charmaine bought a pair of shoes at a 30% discount and paid $22.50 less than the original price. What was the original price of the pair of shoes?

A. $60
B. $68
C. $72
D. $75
E. $81

We can let p = the original price of the pair of shoes and create the equation:

0.7p = p - 22.5

22.5 = 0.3p

p = 22.5/0.3 = 225/3 = 75

Answer: D