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I dont know how to answer part b, but you need part a to answer it so that's at the top

I dont know how to answer part b, but you need part a to answer it so that's at the-example-1
User Stoebelj
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1 Answer

18 votes
18 votes

GIVEN:

We are told that the original price of a sofa is $500 and rthen it has been reduced by 20%, leaving the new price at $400.

The company cant sell the sofa after 3 weeks so they reduce the price to $320.

Required;

To find the percentage decrease.

Step-by-step solution;

At the point of reducing the price further, the original price has now been put at $400 and the new price has been set at $320. We take note that in terms of percentage, the original price is 100% while the new price will be represented by x (that is, yet unknown).

With this information we can set up an equation based on the ratio of the two prices as compared to the two percentages.

This means;


\begin{gathered} Original\text{ }price=400(100\%) \\ \\ New\text{ }price=320(x\%) \end{gathered}

Therefore;


(400)/(320)=(100)/(x)

Now we cross multiply;


\begin{gathered} x=(100*320)/(400) \\ \\ x=(320)/(4) \\ \\ x=80 \end{gathered}

The new price is now given as 80% which simply means 20% was deducted from the original price. In other words, there was a 20% price reduction.

ANSWER:

There was a 20% decrease.

User Vince Horst
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