The regular price of a shirt at a store is $11.70. Thesale price of the shirt is 80% less than the regularprice, and the sale price is 30% greater than thestore’s cost for the shirt. What was the store’s cost, indollars, for the shirt?
Question
The regular price of a shirt at a store is $11.70. Thesale price of the shirt is 80% less than the regularprice, and the sale price is 30% greater than thestore’s cost for the shirt. What was the store’s cost, indollars, for the shirt?
Solution
Step 1: Find the sale price of the shirt
The sale price of the shirt is 80% less than the regular price. To find this, we first need to calculate 80% of the regular price.
80/100 * 9.36
Then, we subtract this from the regular price to get the sale price.
9.36 = $2.34
So, the sale price of the shirt is $2.34.
Step 2: Find the store's cost for the shirt
The sale price is 30% greater than the store’s cost for the shirt. This means that the store's cost is less than the sale price. To find this, we first need to calculate what 30% of the sale price is.
30/100 * 0.702
Then, we subtract this from the sale price to get the store's cost.
0.702 = $1.638
So, the store's cost for the shirt is approximately $1.64.
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