Solved on Feb 15, 2024

Find the sale price of an item originally priced at $42\$ 42 with a 15%15 \% discount.

STEP 1

Assumptions
1. The original price of the item is $42.
2. The discount offered is 15%.
3. We need to calculate the sale price after applying the discount.

STEP 2

First, we need to calculate the amount of discount in dollars. The discount amount can be found by multiplying the original price by the percent of discount.
Discountamount=OriginalPrice×PercentofDiscountDiscount\, amount = Original\, Price \times Percent\, of\, Discount

STEP 3

Now, plug in the given values for the original price and percent of discount to calculate the discount amount.
Discountamount=$42×15%Discount\, amount = \$42 \times 15\%

STEP 4

Convert the percentage to a decimal value.
15%=0.1515\% = 0.15
Discountamount=$42×0.15Discount\, amount = \$42 \times 0.15

STEP 5

Calculate the discount amount.
Discountamount=$42×0.15=$6.30Discount\, amount = \$42 \times 0.15 = \$6.30

STEP 6

Now that we have the discount amount, we can find the sale price by subtracting the discount amount from the original price.
SalePrice=OriginalPriceDiscountamountSale\, Price = Original\, Price - Discount\, amount

STEP 7

Plug in the values for the original price and the discount amount to calculate the sale price.
SalePrice=$42$6.30Sale\, Price = \$42 - \$6.30

STEP 8

Calculate the sale price.
SalePrice=$42$6.30=$35.70Sale\, Price = \$42 - \$6.30 = \$35.70
The sale price of the item after applying a 15% discount is $35.70.

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