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 ( 1 Marks )

(1) 44.44
(2) 55.55
(3) 66.66
(4) 77.77

• Total Cost price = 24×X
  As 1/3rd of the beans spoiled, remaining beans are 2/3 (24) = 16 kgs
  Selling price = 200 × 16 = 3200
  Profit = Selling price - Cost price = 3200 - 24×X
  Given Profit = 2 × Cost price
  
  3200 - 24×X = 2 × (24×X)
  Solving X = 44.44
• 10 years agoHelpfull: Yes(41) No(1)
• Total Cost price of 24 kg of coffee beans= 24*x
  when 1/3rd of the beans were spoiled, remaining beans left= 2/3 (24) = 16 kgs
  Selling price of 16 kg beans = 200 × 16 = 3200
  gain = Selling price - Cost price = 3200 - 24×X
  Given Profit = 2 × Cost price
  
  3200 - 24*x = 2 × (24*x)
  Solving x = 44.44
  
• 10 years agoHelpfull: Yes(3) No(0)
• 66.66
  24kg=> 24x
  16kg left after spoiled, 16*200=3200 , because (200/kg)
  2(24x)=3200
  x=66.66
• 8 years agoHelpfull: Yes(2) No(0)
• ans =48days
  abe maheshwari kuchh achha question hi puchh lete :) :)
• 10 years agoHelpfull: Yes(1) No(9)
• dinesh kumar your ans is wrong
  
• 9 years agoHelpfull: Yes(1) No(0)
• (3) 66.66 x=200*16/(24*2).
  
• 9 years agoHelpfull: Yes(1) No(0)
• CP=24X
  SINCE (1/3) OF 24 =8 GOT SPOILED THEN THE REMAINING WILL BE 24-8=16
  THEREFORE THE SP=16*200=3200
  ATF
  SP-CP=PROFIT
  THEREFORE 3200-24X=48X(SINCE THE PROFIT IS TWICE THE CP)
  X=44.44%
• 9 years agoHelpfull: Yes(1) No(0)
• ans =48days
  abe maheshwari kuchh achha question hi puchh lete :) :)
• 10 years agoHelpfull: Yes(0) No(5)
• 1600/48=66.66
• 9 years agoHelpfull: Yes(0) No(1)
• Total Cost price = 24×X
  As 1/3rd of the beans spoiled, remaining beans are 2/3 (24) = 16 kgs
  Selling price = 200 × 16 = 3200
  Profit = Selling price - Cost price = 3200 - 24×X
  Given Profit = 2 × Cost price
  
  3200 - 24×X = 2 × (24×X)
  Solving X = 44.44
  
• 9 years agoHelpfull: Yes(0) No(0)
• as the cost price is x/kg
  so cp of 24 kg be 24x
  now as 1/3 got spoiled so
  remaining is = 16 kg
  so the cp of 16 kg = 16x
  now sp = 16*200
  so, 16*200 - 16x = 2(16x)
  solving we get x = 66.66
  
• 9 years agoHelpfull: Yes(0) No(2)
• 24kg=x/kg
  16kg=200/kg
  so SP= 3200
  Our formula is gain=sp-cp
  gain is 1600 sp is 3200
  -1600=24x
  x=66.66
• 4 years agoHelpfull: Yes(0) No(1)