Crystal bought a dress for 45% of the original cost. After adding $1.35 for taxes, she paid a total of $23.85. What was the original cost of the dress?

The original cost of the dress was $53

Explanation:

To find the answer, we can first add back the 1.35 tax to the final cost of 23.85. This is equal to 25.2

This value is 45% of the original cost, so to find the original cost, we can use a simple rule of three:

$23.85   45%

x              100%

100 x 23.85 / 45 = $53

We can prove this answer by multiplying the resulting value for the corresponding percentage:

$53 x 45% = $23.85

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