If the numerator of a fraction is increased by 200% and the denominator is increased by 250% the resultant fraction is 3/14. What is the original fraction?

a) 1/2 b) 3/4 c) 1/4 d) 1/8

• Ans.1/4
  1+200%of 1=3
  4+250%of 4=14
• 13 years agoHelpfull: Yes(3) No(3)
• Let the number be x/y.
  200% of x is 2x and 250% of y is 5/2y
  Hence we have 2x + x =3x and y + 5/2y = 7/2y
  Hence resultant fraction should be 6x/7y = 3/14=6/28
  Hence the original fraction will be 1/4.
  
• 11 years agoHelpfull: Yes(3) No(4)
• n(300)/d(350)=3/14
  n:d=1:4
  ans=1/4
• 8 years agoHelpfull: Yes(0) No(0)
• Let P and Q be the original numerator and denominator respectively.
  
  P when increased by 200% becomes, P + P(200/100) = P (100 + 200)/100 = 300P/100
  
  Q when increased by 250% becomes, Q + Q(250/100) = Q (100 + 250)/100 = 350Q/100
  
  According to the question, (300P/100) / (350Q/100) = 3/14
  
  Or 300P/350Q = 3/14
  
  Or P/Q = (3/14) x (350/300) = 25/100 = 1/4
• 7 years agoHelpfull: Yes(0) No(0)