Question

Ver en español 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?

a) $42.74
b) $45.36
c) $28.84
d) $22.92

Answer 1

The discounted price is determined by first increasing the original cost by 125% and then decreasing the new price by 50%. However, the calculated discounted price of $36.05 is not listed in the given options, suggesting a possible mistake in the question or the options.

Step-by-step explanation:

The discounted price of the set of dishes can be found by first calculating the marked-up price and then applying the 50% markdown. Here's how to do it:

1. Calculate the marked-up price by multiplying the original cost of $57.68 by 125%, which is the same as multiplying by 1.25.
2. The result gives you the new price after the markup.
3. Apply the 50% markdown to this new price by multiplying it by 50%, which is the same as multiplying by 0.5.
4. The result will give you the discounted price of the set of dishes.

Step-by-step calculation:

1. $57.68 × 1.25 = $72.10 (marked-up price)
2. $72.10 × 0.5 = $36.05 (discounted price)

So the discounted price after a 125% markup and a 50% markdown is $36.05, which is not one of the options provided. It appears there may be an error in the question or the options given.