A dealer allows 16% discount to a retailer and retailer allows 10% discount to a customer. These both discounts are given on the painted price of the book. If the customer pays Rs. 270 for a book and the dealer makes a profit of 5% what is the C.P. of the book for the dealer?

• Rs. 288
  
  If Printed or Marked price of book at dealer=x, then x*0.84*0.9=270, x=270/(0.84*0.9)=360
  So Selling price of dealer=0.84*360
  As on this selling price, gain is 5%, so Cost Price=84*360*(100/105)=288
• 8 years agoHelpfull: Yes(0) No(2)
• Consider as 100 rupees,so 5 % = 1.05* 1oo =105.
  16% discount = 0.84 x 100 = 84,So selling price is84 and the the marked price 100.
  Retailer discount 10%,so customer selling price is 125 x 0.9 = Rs.112.5
  so selling price is112.5 and dealer price is = Rs.100
  so if selling price is 270 then (270/112.5) * 100 = Rs.240
• 7 years agoHelpfull: Yes(0) No(0)
• If Printed or Marked price of book at dealer=x, then x*0.84*0.9=270, x=270/(0.84*0.9)=360
  So Selling price of dealer=0.84*360
  As on this selling price, gain is 5%, so Cost Price=84*360*(100/105)=288
• 7 years agoHelpfull: Yes(0) No(0)