A merchant has 100 kgs of sugar, part of which he sells at 7% profit and the rest at 17% profit. He gains 10 % on the whole. Find how much is sold at 17% profit?

• 30 kg
  
  let CP of sugar is Rs 1 per kg.
  
  and he sold x kg at 7% profit, then
  
  x*1.07 + (100-x)*1.17 = 1.17x
  x=70
  100-x = 30 kg
• 12 years agoHelpfull: Yes(5) No(3)
• A merchant has 100 kgs of sugar, part of which he sells at 7% profit and the rest at 17% profit. He gains 10 % on the whole. Find how much is sold at 17% profit
  
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• 10 years agoHelpfull: Yes(1) No(0)
• Need some correction in the equation given by Mr. Pargat as
  x*1.07 + (100-x)*1.17= 1.1*100 ,which gives x=70, so 100-x=30 kg. sold at 17% profit.
• 8 years agoHelpfull: Yes(0) No(0)
• consider that 1kg sugar is rs.1, then 50kg at 17%, 50kg at 7%, so use alligation method its very simple....
  7% 17%
  10% cross subtract.
  7 3
  so here 7% is 70kg and 17% is 30kg. try similar questions its very easy.
• 8 years agoHelpfull: Yes(0) No(0)
• alligation is: 7% 17%
  10% cross subtract (17%-10%), (7%-10%)
  7 3
  
• 8 years agoHelpfull: Yes(0) No(0)