In an examination, the ratio of pass candidate to failed candidate was 3:1 If 8 more had appeared and - Maths - Comparing Quantities

Question

In an examination, the ratio of pass candidate to failed
candidate was 3:1 If 8 more had appeared and 6 less had passed,
then the ratio would have changed to 1:1 The number of candidates
who appeared for examination is

Manmeet Singh · Accepted Answer

The ratio of pass to fail candidates is 3:1.

So, let the number of candidates who passed be 3x and the number of candidates who failed be x.

Then, the total number of candidates who appeared for the exam would be 3x + x = 4x.

Now, since the question says that if 8 more had appeared, that means total candidates are now 4x + 8.

And also if 6 less had passed, that means the number of candidates who passed are now 3x – 6.

So, the the number of candidates who failed are now (total candidates - number of candidates who passed) = (4x + 8) – (3x – 6) = x + 14

Then the ratio of passed to failed candidates becomes (as given in the question)

Thus, the number of total candidates who appeared for the examination are 4x = 10 = 40.

(as given in the question)

Thus, the number of total candidates who appeared for the examination are 4x = 10 = 40

In an examination, the ratio of pass candidate to failed candidate was 3:1. If 8 more had appeared and 6 less had passed, then the ratio would have changed to 1:1. The number of candidates who appeared for examination is .........