. A merchant sells an item at a 20 percent discount. but still makes a gross profit of 20 percent of the cost.
What percent of cost would be gross profit on the item have been if it had been sold without the discount?
(A)20% (B)40% (C)50% (D)60% (E)66.6%

• (C)50%
  Let the S.P. be 100 Rs.
  on giving 20 % discount,,S.p. will be 80Rs.
  Profit %=profit*100/C.P.
  20=profit*100/C.P.
  C.P.=5*profit
  C.p.=5*(s.p.-c.p.)
  c.p.=5*(80-c.p.)
  (c.p./5)+c.p.=80
  c.p.=66.66Rs
  
  At no discount,S.P.=100Rs.
  C.P.=66.66Rs.
  Profit=33.34
  Profit%=profit*100/c.p
  
  =33.34*100/66/66
  Profit%=50
• 13 years agoHelpfull: Yes(38) No(7)
• 50%
  let a 100Rs. than sell at 120/- and get 20% discont than 120 is 80%
  than 100% is 150
  than without the discount it will be sold by 150/-
• 13 years agoHelpfull: Yes(7) No(7)