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Question

In an examination, 35% students failed in one subject, 42% failed in another subject while 15% failed in both. How many students passed in either of the subjects if the total number of students who appeared for the examination are 2500?

Answer 1

Percentage of students failed in subject I = 35%

Percentage of students failed in subject II = 42%

Percentage of students failed in both I & II subjects = 15%

 

Let’s calculate the percentage of students failed :

Percentage ( Fail in I or Fail in II ) = Percentage (Fail in I) + Percentage (Fail in II) – Percentage (Fail in both)

= (35 + 42 -15)% = 62%.

So, Percentage of student who failed= 62%

Percentage of student who passed = (100 – 62)% = 38%

 

It is given that total number of student appeared in examination = 2500 & we are asked how many students

passed in either of the subject. So,

100% → 2500

38% → (2500/100)*38 = 25 * 38 = 950.

 

Total number of students passed in either exam is 950.