SATHEE: Quantitative Aptitude Ques 1571

Quantitative Aptitude Ques 1571

Question: The students in three classes are in the ratio 4: 6: 9. If 12 students are increased in each classes, the ratio changes to 7: 9: 12. Then, the total number of students in the three classes before the increase is

Options:

A) 95

B) 76

C) 100

D) 114

Show Answer

Answer:

Correct Answer: B

Solution:

Let the original number of students be $ 4x, $ $ 6x $ and $ 9x. $ According to the question, $ \frac{4x+12}{6x+12}=\frac{7}{9} $

$ \Rightarrow $ $ 42x+84=36x+108 $

$ \Rightarrow $ $ 42x-36x=108-84 $

$ \Rightarrow $ $ 6x=24 $
$ \Rightarrow $ $ x=4 $

$ \therefore $ Required number of students $ =19x=19\times 4=76 $

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Quantitative Aptitude Ques 1571

Question: The students in three classes are in the ratio 4: 6: 9. If 12 students are increased in each classes, the ratio changes to 7: 9: 12. Then, the total number of students in the three classes before the increase is

Options:

Answer:

Solution:

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