Question

help please!! 1.) The original price of a sofa is $500. Answer the following questions.

a. If the sofa price decreased by 20%, what is the new price?

b. The company can’t sell the sofa after 3 weeks so they reduce the price to $320. What is the percent decrease?

c. If the company reduces the price in week 4 to $290, what is the percent decrease? explain steps <3

Answer 1

Answer:

Part a) The new price is $\ 400$

Part b) The percent decrease is 20%

Part c) The percent decrease is 9.375%

Step-by-step explanation:

we know that

The original price of a sofa is $500

This price represent the 100%

Part a) If the sofa price decreased by 20%, what is the new price?

Let

x -----> the new price

we know that

$100\%-20\%=80\%=80/100=0.80$

so

The new price is equal to the original price multiplied by 0.80

$x=500(0.80)=\ 400$

Part b) The company can’t sell the sofa after 3 weeks so they reduce the price to $320. What is the percent decrease?

In this moment the price of sofa is $400

Find the difference between the original price and the new price

$\ 400-\ 320=\ 80$

using proportion

Find out the percent decrease

Let

x ----> the percent decrease

$\frac{400}{100}=\frac{80}{x}\\\\x=100*80/400\\\\x=20\%$

Part c) If the company reduces the price in week 4 to $290, what is the percent decrease?

In this moment the price of sofa is $320

Find the difference between the original price and the new price

$\ 320-\ 290=\ 30$  

using proportion

Find out the percent decrease

Let

x ----> the percent decrease

$\frac{320}{100}=\frac{30}{x}\\\\x=100*30/320\\\\x=9.375\%$

Answer 2

Answer:

-.042%

Step-by-step explanation:

290-500=-210/500=-.42*100=-.042% Decrease

hope this helps