In an examination, 51% candidate failed in physics and 43% failed in mathematics, 14% failed in both the subjects. If the total number of candidates who passed in physics alone are 580, then the total number of candidates is: (A). 2100 (B). 2000 (C). 2500 (D). None of the above

Explanation

Number of candidates who failed in Maths `= 43%`

Number of candidates who failed in both Physics and Maths ` = 14%`

`:. `Number of candidates who failed only in Maths ` = 43-14 = 29%`

It means the number of candidates who passed only in Physics will also be equal to `29%`.

Let `x` is the number of totals candidates. Then,

`x**29/100 = 580=> x = 20**100 = 2000`

So, total number of candidates are `2000`.