In 1998, ratio of the numbers of students… | Answer

Subject

Quantitative Aptitude

Topic

Percentage

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.
Reading

ক)

43,200

খ)

5,500

গ)

32,000

ঘ)

Data Inadequate

ঙ)

None of these

Explanation

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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Explanation

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