SOLUTION: Harry bought 20 kg of rice at $18 per kg and 25 kg of rice at $ 16 per kg. He mixed the two varieties and sold the mixture at $ 19 per kg. Find his gain percent in the whole transa

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Harry bought 20 kg of rice at $18 per kg and 25 kg of rice at $ 16 per kg. He mixed the two varieties and sold the mixture at $ 19 per kg. Find his gain percent in the whole transa      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1009667: Harry bought 20 kg of rice at $18 per kg and 25 kg of rice at $ 16 per kg. He mixed the two varieties and sold the mixture at $ 19 per kg. Find his gain percent in the whole transaction.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Cost of the $18/kg rice: +18%2A20+=+360+
Cost of the $16/kg rice: +16%2A25+=+400+
------------------------------------
Let +x+ = the actual value of the mixture
of the 2 kinds of rice
+%28+360+%2B+400+%29+%2F+%28+20+%2B+25+%29+=+x+
+x+=+760+%2F+45+
+x+=+16.89+
----------------
He asks $19/kg, so he makes +19+-+16.89+=+2.11+
Since he paid +18%2B+16+=+34+ for the rice,
+%28+2.11%2F34+%29%2A100+=+6.21+
His % gain was 6.21%