SOLUTION: The price of a color printer is reduced by 30% of its original price. When it still does not sell, its price is redcuced by 20% of the reduced amount. The sales person informs you

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: The price of a color printer is reduced by 30% of its original price. When it still does not sell, its price is redcuced by 20% of the reduced amount. The sales person informs you       Log On


   



Question 943287: The price of a color printer is reduced by 30% of its original price. When it still does not sell, its price is redcuced by 20% of the reduced amount. The sales person informs you that there has been a total reduction of 50%. If the original price of the printer was $578, us the sales person correct? If not what was the actual percent reduction from the original price?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Say the original price was +p+
This price gets reduced by 30%
+p+-+.3p+=+.7p+ is the 1st reduced price
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This price gets reduced by 20%
+.7p+-+.2%2A.7p+=+.7p%2A%28+1+-+.2+%29+
+.7p%2A.8+=+.56p+
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The final price is +.56p+ which means
the reduction from the original price
was +p+-+.56p+=+.44p+
44% reduction
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If +p+=+578+, then +.44%2A578+=+254.32+
$254.32 was taken off the original price