Final answer:
The new price of the shirt after a 40% discount on the original $75 price is $45, which corresponds to option (C).
Step-by-step explanation:
The original price of the shirt is $75. A 40% discount is being offered on this price. To calculate the discounted price, we multiply the original price by the percentage of the discount in decimal form (40% = 0.40) and subtract the result from the original price.
To calculate the new price after the discount, we do the following calculation:
- Calculate the amount of the discount: $75 × 0.40 = $30
- Subtract the discount from the original price: $75 - $30 = $45
Therefore, the new price of the shirt after a 40% discount from its original price of $75 is $45, which corresponds to option (C).