Description
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?
Explanation & Answer
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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