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Question

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 in the beginning was

A
162
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B
108
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C
96
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D
153
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Solution

The correct option is A 162
Let the number of students in the classes be 2x,3x and 4x respectively.
Then, total students =2x+3x+4x=9x
According to the question,
2x+123x+12=811
11x+66=12x+48
x=18
Total number of students in the three classes in the beginning =9×18=162

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