A shopkeeper purchased an article at 20% discount on list price, he marked up his article in such a way that after selling the article at 20% discount, he gained 20% on SP. what % is SP of the list price?

• Let L.P = 100 ==> C.P = 80. He gains 20% on S.P ==> S.P = 96.
• 10 years agoHelpfull: Yes(27) No(2)
• ans. is 96%.
  so how..
  let, list price be x.
  
  -->first, SP= 80% of list price. //for discount of 20%.
  SP=80/100*x = 4/5*x.
  -->second, as said gained 20% on SP, so 120% of SP.
  120/100*SP = 120/100*4/5*x = 24/25*x.
  -->third, % is SP of the list price.
  so, (24/25*x*100)% = 96%.
  
• 10 years agoHelpfull: Yes(6) No(2)
• let us take list price =x
  cp=80%(x)
  sp=120%(80%)x
  then it is 96%
• 10 years agoHelpfull: Yes(6) No(1)
• SP is 96% of initial list price and 80% of new marked price
• 10 years agoHelpfull: Yes(4) No(2)
• 66.67% of the list price.
  Let list price is x
  So he sold it at 80x/100
  Let sp is y
  120y/100 = 80x/100
  Y = 2x/3
  2x/3x ×100 = 66.67%
• 10 years agoHelpfull: Yes(4) No(4)
• Let the list price be Rs 100/-. Then the shopkeeper purchases it at a discount of 20%, i.e., 100- 20= 80/-
  Hence Rs 80 will be the Cost Price (C P) for the shopkeeper. Now he marks up the article's price in such a way that even after giving 20% discount he still makes a profit of 20% on the new selling price.
  S.P = C.P + Profit + Discount
  S.P= C.P + 20% of S.P + 20% of S P
  S.P = C.P + 40% of S.P
  S.P - 40% of S.P = C.P
  60% of S.P = C.P
  60/100 S.P= C.P
  S.P= 80/0.6 = Rs 133.34
  % of SP to list price= 133.34/ 100 = 133.34.%
  (Verification:- SP= 133.34, discount 20% of SP=133.34 * 20/100 = Rs 26.66
  New selling price= 133.34-26.66 = 106.68
  Profit = New SP - C P = 106.68 - 80 = 26.68/-
  %profit on marked up selling price = profit/ marked SP = 26.68/133.34 * 100 = 20% )
• 7 years agoHelpfull: Yes(1) No(1)
• anybody who appeared for the test on 18th January and 25th January? I am appearing on 2nd Feb but I heard there are no questions on quant. Please update.
• 10 years agoHelpfull: Yes(0) No(3)
• let l.p=x, c.p=0.8x. s.p=y
  profit% on s.p
  0.2=(y-0.8x)/y
  y/x=1
  y/x %=100
• 8 years agoHelpfull: Yes(0) No(2)