The profit obtained by selling an article for Rs.56 is the same as the loss obtained by selling it for Rs.42. What is the cost price of the article?

1) Rs.40
2) Rs.50
3) Rs.49
4) None of these

• Let the C.P. be Rs. x.
  
  Then,
  
  56-x=x-42
  
  solving x=49(Ans)
• 10 years agoHelpfull: Yes(4) No(1)
• let d profit be x
  den loss will also be x
  now 56=(110+x)*cp/100---eqn1
  and 42=(100-x)*cp/100---eqn2
  now solve both eqn we get x=14.28 and cp=41.72
• 10 years agoHelpfull: Yes(2) No(4)
• Answer: 3) Rs.49
  Explanation:
  GT:
  SP in profit=Rs. 56
  SP in Loss=Rs .42
  
  let's cost price(cp)=x
  
  formula:
  Profit=SP-CP=>56-x
  Loss=CP-SP=>x-42
  
  Profit=Loss
  56-x=x-42
  2x=98
  x=RS.49
• 5 years agoHelpfull: Yes(1) No(0)
• When profit and loss are equal then c.p=(profit s.p+loss s.p)/2
  c.p=(56+42)/2
  =49
• 4 years agoHelpfull: Yes(0) No(0)
• the answer is ruppees49
  because
  let the cost price be x
  when selling price = 56 ruppees then profit obtained is
  also equal to loss obtained when selling price is ruppees 42
  therefore:-
  56 - x = x - 42
  x = ruppees 49
• 3 years agoHelpfull: Yes(0) No(0)