Question

The price of boots on sale is \[\dfrac{2}{3}\] of the original price. The original price of the boots is \[\$ 84.99\]. What is the sale price of the shoes? Choose the correct option:
A. \[\$ 67.23\]
B. \[\$ 49.54\]
C. \[\$ 43.16\]
D. \[\$ 56.66\]

Answer 1

Hint: Sale price is the price at which the product has been sold in the sale. It is different from the original price of the boots. We will find the \[\dfrac{2}{3}\] of the original price which gives us the sale price where the original price of the boots is given as \[\$ 84.99\].

Complete step by step solution
Consider the original price of the shoes that is \[\$ 84.99\].
We know that the original price is different from the sale price of the shoes.
Thus, we need to find the sale price of the shoes which means the price at which the boot has been sold.
As given in the question, the price of the boots on sale is \[\dfrac{2}{3}\] of the original price.
Thus, we get that,
\[{\text{Sale price}} = \dfrac{2}{3} \times {\text{original price}}\]
Now, we will put the value of the original price in the above derived expression,
The original price is \[\$ 84.99\].
Therefore, we get,
\[{\text{Sale price}} = \dfrac{2}{3} \times 84.99\]
Hence, we will simplify the value by multiplying.
Thus,
\[{\text{Sale price}} = \$ 56.66\]
Hence, the sale price of the shoes is \[\$ 56.66\].
Thus, option d is correct.
Note: We have multiplied the value of original price with \[\dfrac{2}{3}\] to get the sale price. Thus, there is no need to apply any formula to evaluate the value. In condition of sale, sale price is always less than the original price of the product.