sum of the cp's of two cars is Rs.150,000.ist car is sold at a profit of 20% and the second car at the loss of 20%.however,their S.p's are same. what is the cost price of the 1st car?

• cp1+ cp2 =150000
  
  write a equation in cp
  
  100sp/120 +100sp/80=150000
  solve equation
  sp is same
  
  
  sp=72000
  
  so now put the equation in sp format and find cp
  
  cp 1= 60000
  cp 2= 90000
• 8 years agoHelpfull: Yes(15) No(1)
• we get,
  CP of the 1st car is=x & 2nd car is=y
  x+y=150,000
  20% profit means SP of 1st car is=120x/100
  20% loss means SPof 2nd car is=80y/100
  according to the question,
  120x/100=80y/100
  or,y=3x/2
  then x+3x/2=150,000
  x=60000
• 8 years agoHelpfull: Yes(10) No(0)
• let x and y is the cost price of 1st and 2nd car respectively.
  so, x+y=150,000..................(1)
  now, s.p. of the 1st car is (x*120)/100=(6*x)/5
  and s.p. of the 2nd car is (y*80)/100=(4*y)/5
  but their s.p. are same. So, (6*x)/5=(4*y)/5 or, y=3*x/2
  put these value in the equation (1),we will get x+(3*x)/2=150,000 or,x=60000
  and y=90000 is the cost price of the 2nd car.
  therefore cost price of the 1st car is 60000.....(ans)
• 8 years agoHelpfull: Yes(6) No(0)
• let,cost price=100;
  1st car selling price=120
  2nd car selling price=80
  1st:2nd=80:120=2:3
  cost price of 1st car=(2/5)*150000=60000
• 6 years agoHelpfull: Yes(5) No(0)
• let cp1=x so cp2=150000-x
  now x+x/5=(150000-x)-(150000-x)/5
  solving the above eqsn we have cp1 i.e. x=60000
  you can cross check the ans i.e. 60000+20%=72000==90000-20% (proved)
• 8 years agoHelpfull: Yes(2) No(0)
• let cp of ist car be X and cp of 2nd car be Y
  accordng to qstn,
  X+Y=150000
  also, sp of 1st car =12X/10
  and sp of 2nd car=8Y/10
  as given sp's are same
  so,12X/10=8Y/10
  X=2/3
  on solving,
  we get, X=60000, Y=90000
• 8 years agoHelpfull: Yes(2) No(0)
• let cp's be c1& c2 res.
  so,c1+c2=150000
  c1+c1/5=c2-c2/5
  c2-c1=30000
  c1=90000
• 8 years agoHelpfull: Yes(1) No(6)
• either 90000 or 60000
• 8 years agoHelpfull: Yes(1) No(1)
• 20 -20
  100
  3 2
  gives sp are same
  so ration is 2 :3
  2/5*150000
  60000
• 6 years agoHelpfull: Yes(1) No(0)
• car1+car2 = 150000 ... 1.2*car1 = 0.8car2 => car2 = 3/2*car1.. 5/2*car1 = 150000 => car1= 60000
• 8 years agoHelpfull: Yes(0) No(0)