A survey was conducted among consumers who use products in liquid and powder form.one third of them don't use liquid.two fifth of them don't use powder.427 use both powder and liquid and one fifth use neither of products.what is the total no of consumers.

• ANS : 915
  Let the total no of consumer is x
  so as given one third of them dont use liquid that mean 2/3 use liquid
  again two fifth of them dont use powder that mean 3/5 use powder
  one fifth use neither of products so (2/3x + 3/5x + 1/5x)-x =427
  solving x=915
• 11 years agoHelpfull: Yes(17) No(0)
• answer is 915.
  no liquid=1/3, no powder=2/5 , neither of them=1/5.
  only use powder=(1/3-1/5)=2/15.
  only use liquid=(2/5-1/5)=1/5.
  use both=427.
  so, 427+ (x/5)+(2x/15)+(x/5)=x
  solving.. x=915.
• 11 years agoHelpfull: Yes(14) No(0)
• 6405.(3x/5)+(x/3)+427=X
• 8 years agoHelpfull: Yes(0) No(1)
• let the total numbers be X.
  A= don't use liquid = 1/3
  B = don't use powder = 2/5
  C = don't use both powder and liquid = 1/5
  D = use both powder and liquid = 427
  A + C = 1/3
  B + C = 2/5
  A= 1/3 - 1/5 = 2/15
  B = 2/5 - 1/5 = 1/5
  A + B + C= 2/15 + 1/5 + 1/5= 8/15
  hence D = the rest which is 7/15
  D = 7/15 = 427
  D = 427 x 15/7 = 915 ans.
• 7 years agoHelpfull: Yes(0) No(0)
• let the total no of customers be x.
  then (x/3-427)+(2x/5-427)+(x/5)=0
  then, by solving x=915.
• 6 years agoHelpfull: Yes(0) No(0)