Question

A book was on sale for 40% off its original price. If

the sale price of the book was $18.00, what was the
original price of the book? (Assume there is no sales
tax.)
A) $7.20
B) $10.80
C) $30.00
D) $45.00

Answer 1

The original price of the book was $30.00, which, after a 40% discount, results in the $18.00 sale price. To find the original price, divide the sale price by 0.60 (which represents the remaining 60% after the discount). So the correct option is C.

Step-by-step explanation:

To find the original price of the book before the sale, you need to consider that the sale price represents 60% of the original price, because the book was discounted by 40%. The calculation that needs to be done is to divide the sale price by 0.60.

Here are the steps:

1. Represent the sale price: $18.00
2. Determine the percentage of the original price that $18.00 corresponds to 100% - 40% = 60%.
3. Convert the percentage to a decimal to perform the calculation: 60% = 0.60.
4. Divide the sale price by the decimal equivalent of the percentage: $18.00 / 0.60 = $30.00.

Therefore, the original price of the book was $30.00.

Answer 2

Option (c) $30.00

Explanation:

Let the original price be $x

Given the rate of discount is 40%

Selling (or sale) price of the book is = $18

The original price is calculated by the formula,

Selling Price = Original Price(1 – r%)

Substituting the values in the above equation,

`18 = x (1-(40)/(100))`

`18 = x ((60)/(100))`

`x=(1800)/(60)`

Therefore, x = 30

Hence, option (c)is correct