A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to a retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs.30.9, thereby earning a profit of 25%. The cost price of the manufacturer is

• Let the cost for the manufacturer is Rs.100
  His selling price is Rs.118(cost to the wholesaler)
  SP for the wholesaler is 118*120/100=141.60(cost to the retailer)
  SP for the retailer is 141.60*125/100=177
  Thus when the SP for the retailer is 177, CP of the manufacturer is 100
  When the SP for the retailer is 30.90, CP of the manufacturer is (100/177)*30.9=Rs.17.457
• 12 years agoHelpfull: Yes(14) No(3)
• 17.4576
  Total increment% in profit=> 77%
  so,
  (177/100)*x=30.9
  => x=17.4576
• 8 years agoHelpfull: Yes(1) No(0)
• step-1; for retailer
  25% of 30.9(s p)
  25/100*30.9 = Rs 7.72
  so cp = Rs 30.9-7.72
  =Rs 22.66
  step 2; for wholeseller--
  20 % of 22.66 (retailers cp)
  =Rs 4.53
  so cp of whole seller is 22.66-4.53= RS 18.13
  step 3: for manufacturer
  18 % of 18.13(cp of wholeseller)
  =3.26
  so cp of manufacturer =18.13 - 3.26
  =Rs 14.87(Ans)
• 8 years agoHelpfull: Yes(0) No(2)
• (30.09*100*100*100)/(118*120*125)=17
• 4 years agoHelpfull: Yes(0) No(0)