10. higher order thinking victor paid $415 for a new kayak that he will sell in his shop. he wants to price…

10. higher order thinking victor paid $415 for a new kayak that he will sell in his shop. he wants to price the kayak so that he can offer a 25% markdown but still keep a markup of 15% of the price he paid for it. what should be the price of the kayak before markdown?

10. higher order thinking victor paid $415 for a new kayak that he will sell in his shop. he wants to price the kayak so that he can offer a 25% markdown but still keep a markup of 15% of the price he paid for it. what should be the price of the kayak before markdown?

Answer

Explanation:

Step1: Calculate the selling price after markup

The cost price of the kayak is (C = 415). The markup is (15%) of the cost price. The selling price after markup (S_{after - markup}=(1 + 0.15)\times415) [S_{after - markup}=1.15\times415 = 477.25]

Step2: Relate the price before markdown and the price after markdown

Let the price before markdown be (x). The markdown is (25%), so the price after markdown is ((1 - 0.25)x=0.75x) We know that (0.75x = 477.25)

Step3: Solve for (x)

[x=\frac{477.25}{0.75}=\frac{47725}{75}=\frac{1909}{3}\approx636.33]

Answer:

(636.33)