The weight age given to various subjects while calculating total marks of a student is inversely proportional to maximum marks of the subject. If math has weight age 0.5 and maximum marks 100, and weight age for science is 0.875, what are the maximum marks for science?

• Now, the statement clearly shows that it is an inverse variation.
  0.5 expressed as a fraction is 50/100 = 1/2
  0.875 expressed as fraction is 875/1000 = 7/8
  let x be the maximum marks for science.
  weightage is inversely proportional to maximum marks , which is logically interpreted as :
  maximum marks proportional to 1/weightage
  so 1/0.5 is proportional to 100
  similarly 1/0/875 is proportional to x (we have to calculate x)
  1/1/2 : 100 and 1/7/8 : x
  so we get 2 : 100 :: 8/7 : x
  Product of means = product of extremes
  2x = 1000 * (8/7)
  so you get x as 400/7 which is equal to 57 1/7 (mixed fraction)
  You can also neglect 1/7 and say 57 as the answer (depends upon the options given)
  so the maximum marks for science is 57
• 9 years agoHelpfull: Yes(4) No(0)
• Just a few typing errors in the solution : it is 1/0.875 and not 1/0/875
  2x = 100*(8/7) and not 1000*(8/7) .. Sorry for the errors...
• 9 years agoHelpfull: Yes(3) No(1)