Of the total number of candidates in an examination 40 fail in first subject of the rest 10 fail in ...........

Quant (SSC) Percentage

Of the total number of candidates in an examination 40% fail in first subject, of the rest 10% fail in the second and of those that pass in these two subjects, only 75% pass in the remaining subject. The number of unsuccessful candidates exceeds that of the successful ones by 570. What is the total number of candidates?

2800

8400

3000

1200

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Explanation:

Let the total number of students = x
Number of students failing in the first subject = 40% of x
Number of students failing in the second subject = 10% of rest = 10%(60%) of x = 6% of x
Therefore, total number of students failing in both the subjects = (40 + 6)% of x = 46% of x ....(i)
Therefore, students passing in two subjects = 54% of x
The students passing in remaining subject = 75%(54% of x) = 81/2% of x
Hence students failing in remaining subject = (54 - 81/2) % of x
= 27/2% of x ....(ii)
Therefore, total number of students failing in all the subjects (equation (i) + (ii))
= (46 + 27/2)%x = 119/2% of x
Number of students failing - Number of students passing = 570 (Given)
ie., (119/2 - 81/2)%x = 570
19% of x = 570
Thus, x = 570 x 100 /19 = 3000
Hence, the total number of students are 3,000 .