Question:
If a shirt originally costs $50 and is discounted by 30%, what is the sale price?
If a shirt originally costs $50 and is discounted by 30%, what is the sale price?
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For discount problems, it's often faster to calculate the final percentage you have to pay. For a 30% discount, you pay 70%. For a 15% discount, you pay 85%. This combines two steps into one.
Updated On: Oct 4, 2025
- $35
- $40
- $45
- $50
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept
This problem requires calculating the final price of an item after a percentage discount is applied.
Step 2: Key Formula or Approach
There are two common methods to solve this:
1. Calculate the discount amount and subtract it from the original price.
Discount = Original Price \(\times\) Discount Percentage.
Sale Price = Original Price - Discount.
2. Calculate the remaining percentage of the price and apply it to the original price.
Sale Price = Original Price \(\times\) (100% - Discount Percentage).
Step 3: Detailed Explanation
Method 1: Subtracting the discount amount
First, calculate the discount amount:
\[ \text{Discount} = 30% \text{ of } $50 = \frac{30}{100} \times 50 = 0.30 \times 50 = $15 \] Next, subtract this discount from the original price:
\[ \text{Sale Price} = $50 - $15 = $35 \] Method 2: Calculating the remaining percentage
If the discount is 30%, the remaining percentage to be paid is \(100% - 30% = 70%\).
Calculate 70% of the original price:
\[ \text{Sale Price} = 70% \text{ of } $50 = \frac{70}{100} \times 50 = 0.70 \times 50 = $35 \] Step 4: Final Answer
Both methods yield the same result. The sale price is $35.
This problem requires calculating the final price of an item after a percentage discount is applied.
Step 2: Key Formula or Approach
There are two common methods to solve this:
1. Calculate the discount amount and subtract it from the original price.
Discount = Original Price \(\times\) Discount Percentage.
Sale Price = Original Price - Discount.
2. Calculate the remaining percentage of the price and apply it to the original price.
Sale Price = Original Price \(\times\) (100% - Discount Percentage).
Step 3: Detailed Explanation
Method 1: Subtracting the discount amount
First, calculate the discount amount:
\[ \text{Discount} = 30% \text{ of } $50 = \frac{30}{100} \times 50 = 0.30 \times 50 = $15 \] Next, subtract this discount from the original price:
\[ \text{Sale Price} = $50 - $15 = $35 \] Method 2: Calculating the remaining percentage
If the discount is 30%, the remaining percentage to be paid is \(100% - 30% = 70%\).
Calculate 70% of the original price:
\[ \text{Sale Price} = 70% \text{ of } $50 = \frac{70}{100} \times 50 = 0.70 \times 50 = $35 \] Step 4: Final Answer
Both methods yield the same result. The sale price is $35.
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