SOLUTION: A store marks up its merchandise by 23%. Nina shops with a 15% off coupon. If her price after the coupon is $95, what did the store originally pay for the item?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A store marks up its merchandise by 23%. Nina shops with a 15% off coupon. If her price after the coupon is $95, what did the store originally pay for the item?      Log On


   



Question 938496: A store marks up its merchandise by 23%. Nina shops with a 15% off coupon. If her price after the coupon is $95, what did the store originally pay for the item?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = the price the store paid for item
+p+%2B+.23p+ = the marked-up price
+%28+p+%2B+.23p+%29+-+.15%2A%28+p+%2B+.23p+%29+=+95+
+1.23p+-+.15%2A1.23p+=+95+
+1.23p+-+.1845p+=+95+
+1.0455p+=+95+
+p+=+90.866+
The store originally paid $90.87
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check:
+1.23p+-+.15%2A1.23p+=+95+
+1.23%2A90.866+-+.15%2A1.23%2A90.866+=+95+
+111.765+-+16.765+=+95+
+95+=+95+
OK