The ratio of students of three classes is 2:3:4. If 12 students are increased in each classes then their ratio turns into 8:11:14. What was the total number of students in all the three classes originally ?

A) 162

B) 108

C) 96

D) 54

**Answer**

**A) 162**

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INITIAL RATIO WAS 2:3:4 IF 12 STDS INCREASED THEN, RATIO BECOME 2X+12:3X+12:4X+12, WHERE X IS TOTAL NO OF STDS. AND INCREASED RATIO IS GIVEN i.e., 8:11:14

WE HAVE,

(2X+12) = 8

——- —

(3X+12) 11

SOLVE IT…

WE GET X=18

SUBSTITUTE VALUE OF X IN RATIO 2X:3X:4X

AND ADD IT YOU WILL GET TOTAL NO OF STUDENTS.

ans is a) 162