Calculate the New Shirt Price: $160 with a 30% Discount

Question

The price of a shirt in a shop is $160. After one month, the shop offered a 30% discount on their shirts. Calculate the price of the shirt after the discount.

Video Solution

Solution Steps

00:00 Determine the reduced price of the shirt
00:05 Convert the percentage to a fraction
00:12 Use the formula to convert percentages to fractions
00:20 Apply this formula to our exercise
00:27 Multiply this fraction by the original price in order to determine the discount
00:42 Factor 30 into 3 and 10, and 100 into 10 and 10
00:47 Factor 160 into 16 and 10
00:57 Simplify wherever possible
01:07 This is the discount
01:17 Now subtract the discount from the original price in order to determine the new price
01:22 This is the solution

Step-by-Step Solution

To solve the problem of finding the price of a shirt after a 30% discount, let's follow these clear steps:

  • Step 1: Determine the discount amount using the formula: Discount Amount=Original Price×(Discount Percentage100) \text{Discount Amount} = \text{Original Price} \times \left(\frac{\text{Discount Percentage}}{100}\right) .
  • Step 2: Calculate the price after discount: Price after Discount=Original PriceDiscount Amount \text{Price after Discount} = \text{Original Price} - \text{Discount Amount} .
  • Step 3: Verify this process with the problem requirements and check the options if provided.

Now, let's apply these steps:

Step 1: Calculate the discount amount:

The original price of the shirt is 160, and the discount percentage is 30%.

Using the formula, the discount amount is \( 160 \times \left(\frac{30}{100}\right) = 48 dollars.

Step 2: Find the final price after applying the discount:

The price after the discount becomes 16048=112 160 - 48 = 112 dollars.

Thus, the price of the shirt after applying the 30% discount is \112 \).

Answer

$112