The ratio of the cost price to the mark price of an article is 3:4. If 8x% discount is offered on the marked price of the article then the loss 5x% on selling price. Find discount% ?

• 40%
  
  Let the CP=300, MP=400, then SP = 400*(100-8x)/100 = (400 - 32x)
  Loss = 300 - (400-32x) = (5x/100)*(400-32x)
  On simplifying, we get 2x² +15x - 125 = 0
  (x-5) (2x+25) = 0
  => x=5
  Therefore, the discount = 8x% = 8*5% = 40% on the marked price.
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