SSC Sample Paper Mock Test-6 SSC CGL Tear-II Paper-1

The number of students in 3 classes are in the ratio 2 : 3 : 4 If 12 students are increased in each class, this ratio changes to 8 : 11 : 14. The total number of students in the three classes in the beginning was

A) 162

B)                    108

C) 96

D) 54

Correct Answer: A

Solution :

Let the original number of students be 2x, 3x and 4x in three classes.

According to the question,

\[\frac{2x+12}{3x+12}=\frac{8}{11}\]

\[\Rightarrow \] \[24x+96=22x+132\]

\[\Rightarrow \] \[2x=132-96=36\]

\[\Rightarrow \] \[x=\frac{36}{2}=18\]

\[\therefore \] Original number of students

\[=2x+3x+4x\]

\[9x=9\times 18=162\]