originally, a department store bought a set of dishes at a cost of $57.68 and marked it up 125%. after a…

originally, a department store bought a set of dishes at a cost of $57.68 and marked it up 125%. after a month, the set of dishes had not sold, so the store marked it down 50%. what was the discounted price? $

originally, a department store bought a set of dishes at a cost of $57.68 and marked it up 125%. after a month, the set of dishes had not sold, so the store marked it down 50%. what was the discounted price? $

Answer

Explanation:

Step1: Calculate the marked - up price

First, find the amount of the 125% markup. The markup amount is $57.68\times1.25$. The marked - up price $P_1$ is the cost price plus the markup amount. So $P_1=57.68\times(1 + 1.25)=57.68\times2.25 = 129.78$.

Step2: Calculate the discounted price

Then, find the 50% markdown on the marked - up price. The discounted price $P_2$ is $P_1\times(1 - 0.5)$. Substitute $P_1 = 129.78$ into the formula, we get $P_2=129.78\times0.5=64.89$.

Answer:

$64.89$