type 7 finding sum difference product based ratio & proportion problems Practice Questions Answers Test with Solutions & More Shortcuts

Question : 31 [SSC CGL Prelim 2008]

The number of students in three 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 at the beginning was

a) 96

b) 54

c) 108

d) 162

Answer: (d)

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

According to the question,

${2x + 12}/{3x + 12} = 8/11$

24x + 96 = 22x + 132

2x = 132 - 96 = 36

$x = 36/2$ = 18

Original number of students

= 2x + 3x + 4x

= 9x = 9 × 18 = 162

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