The Ratio of cost price and marked price of an article is 2:3 & ratio of percentage profit & discount is 3:2, what is the profit percentage
a)16.66%
b)20%
c)25%
d)33.33%

• cp = 20 , mp = 30 , sp = x
  %P = (x-20)/20 , %D = (30-x)/30
  since ,
  %P/%D = 2/3 = > x-20 = 30-x so, x =25
  so, d = 5
  %D = 5/30 *100 = 16.66 %
• 7 years agoHelpfull: Yes(5) No(4)
• MP=CP { 100 +/- p %)/(100 +/- d% )}
  Add when there is profit in % and for "d" subtract when there is discount in %
  where p-->profit %
  and d--->discount %
  so using it MP/CP=(100+p)/(100-d)
  mind it that in Question Cp/Mp is given
  So,Mp/Cp=3/2
  also it is given that p/d=3/2
  so d=2*p/3
  put it in original solution
  and p=25%
• 7 years agoHelpfull: Yes(1) No(0)
• Let us assume C.P=20, M.P=30 ,S.P=X (Since C.P:M.P=2:3)
  Also given,
  Profit%:discount%=3:2
  =>(X-20/20)*100:(30-X/30)*100=3:2
  => X-20=30-X
  =>X=25(S.P)
  therefore, Profit %=(5/20)*100=25%
• 6 years agoHelpfull: Yes(1) No(0)
• let price be 100, then cp=40,mp=60,sp=x
  by discount formula we get d=(300-5x)/3....(1)
  by profit formula ,converting into discount,we get d=(5x-200)/3..(2)
  equating 1 & 2 we get ,x=50 then p=25%
• 7 years agoHelpfull: Yes(0) No(3)
• Cp:mp=2X:3X
  Profit =X
  %profit:%discount=3:2
  Let cp= 200, Sp= 300
  
  But ;
  3X/100 x 200+2X/100 x 300= 100
  X= 8.33%
  Discount 2X= 2x8.33%
  =16.66% ans....
• 7 years agoHelpfull: Yes(0) No(1)