If a store sells an item for $150 after a 10% discount, what was the original price?

If a store sells an item for $150 after a 10% discount, what was the original price?

• A. $160
• B. $150
• C. $166.67
• D. $140

Answer: (C)

To determine the original price of an item that is on sale for $150 after a 10% discount, it is essential to understand how discounts work. When an item is sold at a discount, the selling price is equal to the original price minus the discount amount. In this case, if the item was sold for $150 after a 10% discount, we can express this mathematically. Let the original price be represented as \( P \). The discount is calculated as 10% of \( P \), which can be expressed as \( 0.10P \). Thus, the price after the discount can be formulated as: \[ P - 0.10P = 0.90P \] This means that the item is sold for 90% of its original price. According to the information, this selling price is $150, so we can write: \[ 0.90P = 150 \] To find the original price \( P \), we need to isolate \( P \) by dividing both sides of the equation by 0.90: \[ P = \frac{150}{0.90} \] Calculating this gives: \[ P = 166.

To determine the original price of an item that is on sale for $150 after a 10% discount, it is essential to understand how discounts work.

When an item is sold at a discount, the selling price is equal to the original price minus the discount amount. In this case, if the item was sold for $150 after a 10% discount, we can express this mathematically. Let the original price be represented as ( P ). The discount is calculated as 10% of ( P ), which can be expressed as ( 0.10P ).

Thus, the price after the discount can be formulated as:

[

P - 0.10P = 0.90P

]

This means that the item is sold for 90% of its original price. According to the information, this selling price is $150, so we can write:

[

0.90P = 150

]

To find the original price ( P ), we need to isolate ( P ) by dividing both sides of the equation by 0.90:

[

P = \frac{150}{0.90}

]

Calculating this gives:

[

P = 166.