a store manager buys binoculars for $45 each. they mark up the cost by 40% to set the store price. then the…

a store manager buys binoculars for $45 each. they mark up the cost by 40% to set the store price. then the store has a sale and the store price is reduced by 10%. what is the sale price of the binoculars? show your work.

a store manager buys binoculars for $45 each. they mark up the cost by 40% to set the store price. then the store has a sale and the store price is reduced by 10%. what is the sale price of the binoculars? show your work.

Answer

Explanation:

Step1: Calculate marked - up price

The cost price is $45. The mark - up is 40% of the cost price. The formula for the marked - up price $P_1$ is $P_1=(1 + 0.40)\times45$. $P_1 = 1.4\times45=63$.

Step2: Calculate sale price

The store price is $P_1 = 63$. The sale reduces the store price by 10%. The formula for the sale price $P_2$ is $P_2=(1 - 0.10)\times P_1$. $P_2=0.9\times63 = 56.7$.

Answer:

$56.7$