Question

In an examination, the ratio of the number of
successful candidates and unsuccessful
candidates is 4:1. If 20 more appeared and 2
more passed, then ratio of successful
candidates to unsuccessful candidates would
have been 2:1. Find the number of
candidates who appeared in the examination
originally.
​

Answer 1

Answer:

Correct option is

A

150

Suppose x candidates passed and y failed; therefore,

y

x

=

1

4

x=4y (1)

In the second case; no. of students appeared =x+y−30

and no. of those who passed =x−20

No of failed

N=x+y−30−(x−20)

N=y−10

from the question

y−10

x−20

=

1

5

x−20=5y−50

x−5y=−30

from ( 1)

4y−5y=−30

y=30

x=120

So, x+y=150

Total number of students who appeared for the examination =150