Define a variable (if necessary) write an equation and solve

Mathematics
Tutor: None Selected Time limit: 1 Day

The original price p for a necklace is the same at two jewelry stores. At store A, the sale price is 60% of the original price. Last Month at Store B, the sale price was $40 less than the original price. This month at store B, the necklace it 80% of last months reduced price. The current sale prices are the same at both stores. What is the original price of the necklace?

Sep 30th, 2015

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Original Price = P

Store A: Current price is 60% of the original price

Current Price for A= Pa=60/100*p=0.6P

For store B: Last month sale price was $40 dollar less

Last month of store B = (P-40)

This month price for store B is 80% of last month

Current Price for B = Pb=80/100*(P-40)=0.8(P-40)

But current sale price is the same

        Pa=Pb

       0.6P=0.8(P-40)

      0.6P=0.8P-32

      -0.2P=-32

     P= $ 160

 

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Sep 30th, 2015

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