2016 · Q19
A candidate scoring x% marks in an examination fails by a marks, while another candidate who scores y% marks gets b marks more than the pass marks. What are the maximum marks?
Elementary MathematicsPercentages
- A100(a+b)/x-y
- B100(a-b)/x+y
- C100(a+b)/y-x
- D100(a-b)/x-y
Explanation
Let the maximum marks be M. The pass marks can be written two ways: xM/100 + a = yM/100 − b. Hence M(y−x)/100 = a+b, so M = 100(a+b)/(y−x) (option C).