A grocer bought 24 kg coffee beans at price x per kg. after a while one third of stock got spoiled so he sold the rest for $200 per kg and made a total profit of twice the cost what must be the price of x

• 24/3=8 and 24-8=16 now 16*200$=3200$ which is sell price now total cost=24*x and given that profit=2*total cost i.e profit=48*x now we know that profit+cost=sell price so 24X+48X=3200 now 72X=3200 from here X=44.44$
• 10 years agoHelpfull: Yes(64) No(4)
• total--24kg out of which 1/3rd spoiled => 1/3(24kg)=8kg spoiled left is 16kg.
  16kg is sold per $200 a kg total cost= $3200. given as the obtained will be twice the normal cost the original total cost will be $1600.
  24kg= $1600 then 1kg = $1600/24= $66.66
• 10 years agoHelpfull: Yes(8) No(9)
• 1/3 stock spoiled so, total stock is 16 kg, total sp =3200$
  total cp=> 3200-2*24x=24x
  x= 44.44$
  Ans $44.44
• 10 years agoHelpfull: Yes(5) No(0)
• c.p of 24kg=24x,16 kg remaining(8kg spoiled),s.p of 16 kg=16*200=3200
  profit=2*24x=48x
  profit=s.p-c.p=3200-24x=48x
  72x=3200, x=3200/72=44.444444
• 10 years agoHelpfull: Yes(5) No(0)
• 24*x=total cost(C) 1/3 spoiled=24/3=8 so 24-8=16 and 16*200=3200 so 3200=2(24*x) so x=66.66665
• 10 years agoHelpfull: Yes(3) No(8)
• 24/3=8 and 24-8=16 now 16*200$=3200$ which is sell price now total cost=24*x and given that profit=2*total cost i.e profit=48*x now we know that profit+cost=sell price so 24X+48X=3200 now 72X=3200 from here X=44.44$
  
• 10 years agoHelpfull: Yes(2) No(0)
• x=66.67$
  since sp=cp+profit
  cp=x;
  profit=2x
  sp=200$
  200=x+2x
  x=200/3 or 66.67
• 10 years agoHelpfull: Yes(1) No(2)
• c.p of 24 coffee bean=24x;
  (1/3)24=8(spoiled beans);
  so 16 coffee beans remains which cost 200/kg
  sp of 16 kg=16*200=3200
  profit=2*cp
  profit=sp-cp
  2*cp=sp-cp
  3cp=sp; 3*24*x=3200=44.44/kg
  
• 10 years agoHelpfull: Yes(1) No(1)
• c.p of 24kg coffee beans at price x per kg= 24*x.
  spoiled portion = 24*1/3=8
  remaining portion = 24-8=16
  so s.p=16*200=3200
  c.p + profit = s.p
  24*x + 2*(24*x)=3200
  72*x=3200
  x=44.44
• 10 years agoHelpfull: Yes(1) No(0)
• x=200/3=66.6
• 10 years agoHelpfull: Yes(0) No(7)
• total cost of coffee beans =24x one third get spoiled remaining are=16 kg
  the equation will be 16*200-24x=2*24x
  x=44.44
• 10 years agoHelpfull: Yes(0) No(0)
• Bought 24Kg, 1/3 got spoiled, so 24*2/3=16Kg left ready for sale
  The cost of this 2/3 is 16x
  
  Selling price for the 2/3 portion is $200/Kg, total sales revenue = $200*16=$3200
  
  Revenue of the 2/3 - Cost of the 2/3 = Profit of the 2/3 = 2 times the cost
  of the 2/3
  
  3200 - 16x = 2*16x
  3200 = 48x
  200 = 3x
  x = 66 2/3
• 10 years agoHelpfull: Yes(0) No(0)
• C.p. of coffee beans=24*x.
  And now one third of beans have been spoiled =24*1/3=8.
  Now left beans are 24-8=16.
  So 16 beans are sold at $200 per kg
  So total s.p. of left(16) beans is 200*16=3200.
  Now,as given in question gain is twice the cost price.
  S.p.=c.p. +gain
  3200=24x+48x
  Solving x=$44.44
  Ans.
• 10 years agoHelpfull: Yes(0) No(0)