If an object costs $150 after a 10% discount, what was its original price?

• A. $150
• B. $166.67
• C. $140
• D. $165

Answer: (B)

To find the original price of an object after a discount, we need to understand how the discount affects the final price. In this case, the object is sold for $150 after a 10% discount.

The final price reflects 90% of the original price because a 10% discount means the buyer pays 100% - 10% = 90% of the original cost. To express this mathematically, we can represent the original price as ( x ). Therefore, the relationship can be set up as:

[ 0.90 \times x = 150 ]

To find ( x ), divide both sides of the equation by 0.90:

[ x = \frac{150}{0.90} ]

Calculating this gives us:

[ x = 166.67 ]

Thus, the original price of the object before the discount was $166.67. This reasoning shows how the discount percentage directly relates to the price paid and helps reveal the original cost of the item.