In 1998, ratio of the numbers of students taking examinations in x, y and z states are respectively 3 : 5 : 6. Next year, the number of students is increased by 20%, 10% and 20% respectively. If ratio of the number of students in states x and z is 1 : 2, then find the number of students who sit to take examination in 1998.
Correct Answer: Option D
In 1998,
Let number of students in x = 3k,
Number of students in y = 5k and
Number of students in z = 6k.
Next year,
The number of students in,
x = 3k + 20% of 3k = 18k/5
Number of students in,
y = 5k + 10% of 5k =11k/2
Number of students in
z = 6k + 20% of 6k = 36k/5
Now, according to the question,
\(\frac{{\frac{{18k}}{5}}}{{\frac{{\left( {36k} \right)}}{5}}} = \frac{1}{2}\)
Thus, data is insufficient.
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