Q. For a party 240 guests were invited. Contractor have gained 12.5% profit but 30 guests were absent. He charged the same amt for a meal and lost 100 Rs. How much a meal costs?

• Let Cost of one meal be x.
  Hence, C.P. of 240 meals = 240 x.
  Since contractor gains 12.5 % profit therefore
  total selling price = 240x + 240*12.5/100 x
  = 270x.
  Now 30 guest were absent.
  Therefore C.P will remain same = 240x
  And new S.P for 210 guest = (270/240 ) *
  210 x
  In this case he incurrs a loss of Rs 100.
  240x - (9/8) x * 210 = 100
  x=80/3.
  So, cost of one meal is Rs. 80/3.
• 10 years agoHelpfull: Yes(32) No(15)
• Let cost of one meal=x,
  cp=240x
  He is getting profit of 12.5%
  so sp=112.5/100(240x)
  when 30 guests were absent meal cost remains same and he was lossing 100 rupees
  so for 210 guests sp=210x+100
  so 112.5/100(240x)=210x+100=>x=5/3.
  you can check these value by substituting in the above equations.
• 9 years agoHelpfull: Yes(14) No(1)
• Question itself confusing that contractor will charge 240 members even if 30 were absent or not?
  
• 10 years agoHelpfull: Yes(5) No(1)
• If x is the cost of 1 meal, then
  240x*10/112.5 = 210x+100
  solving it, we get
  x= Rs 30.
• 10 years agoHelpfull: Yes(4) No(10)
• If x is the cost of 1 meal, then
  240x*100/112.5 = 210x+100
  solving it, we get
  x= Rs 30.
• 10 years agoHelpfull: Yes(4) No(5)
• let c.p=x
  total c.p=240x
  s.p=(112.5/100)*240x
  =270x
  if 30 guests are absent
  i.e 240-30= 210
  hence s.p of 10 people are
  s.p=210x
  then loss of 100 rs then
  c.p-s.p=100;
  s.p=100+210x;
  if s.p is same for both condition
  270x=210x+100
  x=100/60
  x=1.666 rs
• 5 years agoHelpfull: Yes(0) No(0)