If a commission of 10% is given on the marked price of a book, the publisher gains 20%. If the commission is increased to 15%, the gain is:
(a) 16(2/3)%
(b) 13(1/3)%
(c) 15 (1/6)%
(d) 15%
(e) None of these

• (b); Let C.P.=Rs. 100. First S.P.=Rs. 120
  Now, S.P. =Rs. 120, commission=10%
  Therefore, Marked Price=[(100/90)X120]=Rs. 400/3.
  No, marked price=400/3, commission=15%
  Therefore, S.P.=85% of 400/3=[(85/100)X(400/3)]=340/3.
  Therefore, Gain%=[(340/3)-100]=40/3=13(1/3)%.
  
• 8 years agoHelpfull: Yes(6) No(1)
• Answer :
  Let CP = 100 and Marked Price = X.
  SP = 100 + 20% of 100 = 120.
  10% commision was given on SP.
  SP = X - 10% of X
  120 = X - 10X/100
  120 = 9X/10
  9X = 1200
  X = 1200/9 = 133.33.
  MP = 133.33.
  If 15% commission was given, then
  SP = 133.33 - 15% of 133.33 =
  SP = 133.33 - 20
  SP = 113.33.
  Gain = 133.33 - 100.
  % Gain = 13.33%.
• 7 years agoHelpfull: Yes(5) No(2)
• Let Marked Price=100
  S.P=M.P-Commission=100-10=90
  Profit=20%
  C.P=(100/120)*90=75
  NEW commission=15
  S.P=100-15=85
  Gain=85-75=10
  Gain%=(10*100)/75=40/3
• 6 years agoHelpfull: Yes(3) No(0)
• cp*120/100 = mrp* 90/100
  hence cp = mrp *3/4
  cp * x/100 = mrp*85/100 put value of cp from above eq i.e
  mrp *3/4 * x/100 = mrp * 85/100
  x= 113 1/3
  therfore change in profit is 113 1/3 -100 = 13 1/3
• 7 years agoHelpfull: Yes(0) No(0)