The ratio of cost price to the market price of an article is 4: 5. What is the profit percentage if the ratio of the profit percentage on selling the article to the discount allowed on it is 5: 4?

a. 10%
b. 12%
c. 12.5%
d. 15%

• c) 12.5%
  
  lets assume mp=100 and cp=80
  
  p/d=5/4
  therefore d= p*(4/5)
  
  now cp + profit = mp- discount= sp
  
  80+ p(80/100)=100-(p*(4/5)*(100/100))
  
  solving for p we get p=12.5%
• 9 years agoHelpfull: Yes(21) No(3)
• Answer is :C. 12.5%
  
  C.P:M.P=4:5
  P%:D%=5:4
  Let C.P.=4x,M.P=5x ,p=5y,d=4y
  S.P=(1-(d/100))M.P
  (1+(p/100))C.P.=(1-(d/100))M.P.
  (1+(5y/100))4x=(1-(4y/100))5x
  (1+(y/20))4=(1-(y/25))5
  4+(y/5)=5-(y/5)
  2y/5=1
  y=5/2=2.5
  as p=5y=5*2.5=12.5
  therefore p%=12.5%
• 9 years agoHelpfull: Yes(9) No(4)
• Answer is :C. 12.5%
  
  C.P:M.P=4:5
  P%:D%=5:4
  Let C.P.=4x,M.P=5x ,p=5y,d=4y
  then,
  S.P= ((100+p)*C.P)/100= ((100-d)*M.P)/100
  = ((100+5y)*4x)/100= ((100-4y)*5x)/100
  => y=2.5
  therefore, profit=p=5y= 5*2.5= 12.5%
• 9 years agoHelpfull: Yes(6) No(1)
• 12.5%
  mp/cp=100+p/100-d
• 9 years agoHelpfull: Yes(0) No(5)
• gud one...12.5 %
  
• 9 years agoHelpfull: Yes(0) No(0)
• c) 12.5%
  
  C.P:M.P=4:5
  P%:D%=5:4
  Let C.P.=4x,M.P=5x ,p=5y,d=4y
  now cp + profit = mp- discount= sp
  
  ((100+p)*C.P)/100= ((100-d)*M.P)/100
  = ((100+5y)*4x)/100= ((100-4y)*5x)/100
  => y=2.5..
  so p=2.5*5=12.5%
• 8 years agoHelpfull: Yes(0) No(0)