SOLUTION: The selling price of two fans together is Rs.50,000. One is sold at 10% gain and another at 10% loss. Find the cost price of the two fans.

Algebra ->  Finance -> SOLUTION: The selling price of two fans together is Rs.50,000. One is sold at 10% gain and another at 10% loss. Find the cost price of the two fans.      Log On


   

Question 942155: The selling price of two fans together is Rs.50,000. One is sold at 10% gain and another at 10% loss. Find the cost price of the two fans.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = cost price of fan sold at 10% gain
Let +b+ = cost price of fan sold at 10% loss
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+a+%2B+.1a+%2B+b+-+.1b+=+50000+
+1.1a+%2B+.9b+=+50000+
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What if +a+=+25000+ and +b+=+25000+
+1.1%2A25000+%2B+.9%2A25000+=+50000+
+27500+%2B+22500+=+50000+
+50000+=+50000+
Both fans cost $25,000