Question

The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item. Expression A: 0.2p Expression B: 0.8p Expression C:1 - 0.2p Expression D: p - 0.2p Expression E: p - 0.8p Which two expressions each represent the sale price of the item?

Answer 1

Two expressions each represent the sale price of the item are:

Expression B : 0.8p is correct

Expression D: p - 0.2p is correct

Solution:

The regular price of an item at a store is p dollars

The item is on sale for 20% off the regular price

Therefore,

Regular price = p dollars

Discount = 20 % of regular price

Therefore,

Discount = 20 % of p

$discount = 20 \% \times p\\\\discount = \frac{20}{100} \times p = 0.2 \times p\\\\discount = 0.2p$

Sale price = Regular price - discount price

Sale price = p - 0.2p

Thus Expression D: p - 0.2p is correct

On solving, sale price = p - 0.2p

Sale price = 0.8p

Thus expression B : 0.8p is correct