in the year 2016, the total strength of student in 3 college x, y, a in a city were in a ratio 4:2:5. the strength of college y was 1000. the proportion of girls and boys in all the college was in ratio 2:3. the faculty wise distribution of boys and girls in arts, science and commerce was in ratio 1:2:2 in all 3 colleges. prepare table to fit above data.
Answers
Table to fit above data is the following.
Based on the information given, we can create the following table to represent the data:
College Total Strength Boys Girls Arts Science Commerce
X 4000 2400 1600 800 1600 800
Y 1000 600 400 200 400 200
A 2000 1200 800 400 800 400
Total 7000 4200 2800 1400 2800 1400
Note:
The total student strength of the 3 colleges is 4:2:5 ratio and 4+2+5 = 11. So we can calculate the total strength of each college by multiplying 1000 (the strength of college y) with the respective ratio.
The proportion of girls and boys is 2:3, so we can calculate the number of boys and girls in each college by multiplying the total strength with the respective ratio.
The faculty wise distribution of boys and girls in arts, science, and commerce is 1:2:2 in all 3 colleges. So we can calculate the number of boys and girls in each faculty by multiplying the number of boys and girls in each college with the respective ratio.
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