a store charges $28 for a sweater.this price is 40% more than the amount it costs the store.during a sale, store employees can purchase it at 30% off the stores cost. how much will it cost an employee to buy the sweater?
the 28 represents 140% of the store cost
so the store cost = 28/1.4 = $20
(check: take 40% of 20, then added to 20 gives 28)
now 30% OFF the store cost means the cost would be 70% of the 20 or $14.00
long way: take 30% of 20, then subtract it from 20
To find out how much it will cost an employee to buy the sweater, we need to determine the original cost to the store before the 40% markup.
Let's assume the original cost to the store is represented by x.
We know that the selling price of the sweater is $28, which is 40% more than the store cost. So, we can set up the equation:
x + 40% of x = $28
To calculate the 40% of x, we multiply x by 40% (or 0.40):
0.40 * x = $28
Now, we can solve for x:
x = $28 / 0.40
x = $70
So, the original cost to the store is $70.
During the sale, store employees can purchase the sweater at 30% off the store cost. To find out how much it will cost an employee, we need to apply the discount to the original cost:
Discount = 30% of $70
= (30/100) * $70
= $21
So, the cost for an employee to buy the sweater is $70 - $21 = $49.
To find out how much it will cost an employee to buy the sweater during the sale, we need to follow these steps:
Step 1: Determine the cost of the sweater to the store.
Given that the store charges $28 for the sweater, which is 40% more than the amount it costs the store, we can set up the following equation:
Cost to the store + 40% of the cost to the store = $28
Let's represent the cost to the store as "C". The equation becomes:
C + 0.4C = $28
Simplifying the equation gives us:
1.4C = $28
Dividing both sides of the equation by 1.4, we find that:
C = $20
So, the cost of the sweater to the store is $20.
Step 2: Calculate the price of the sweater during the sale for store employees.
During the sale, store employees can purchase the sweater at a 30% discount off the store's cost. To find the price for employees, we need to subtract 30% of the cost to the store from the original price.
Employee's price = Cost to the store - 30% of the cost to the store
Substituting the value of C we found earlier, we have:
Employee's price = $20 - 30% of $20
To calculate 30% of $20, we multiply $20 by 0.30:
30% of $20 = 0.30 * $20 = $6
Now we can calculate the employee's price:
Employee's price = $20 - $6 = $14
Therefore, it will cost the employee $14 to buy the sweater during the sale.
28(.30)
$8.40 is the discount and you subtract this from $28
so, it will cost the employee $19.60.