The given graph shows the performance of the students of schools A, B, C, D, E and F in a Board Examination. Study the graph and answer the questions that follow.
The ratio of boys and girls who passed from school B is 3 : 4 and it is 11 : 12 for the students who passed from school C. The total number of students who passed with distinction from schools D, E and F is what percentage more than the total number of boys who passed from school B and C?
Solution
School Total Passed Distinction Without distinction Failed
A 800 640 300 340 160
B 1050 840 350 490 210
C 1200 920 450 470 280
D 750 600 260 340 150
E 900 750 330 420 150
F 1500 1000 450 550 500
We are given that the 840 students who passed in B, the boy to girl ratio is 3:4, which gives us 360 boys and 480 girls in B.
Similarly, we are given that of the 920 students who passed in C, the boy to girl ratio is 11:12, which gives us 440 boys and 480 girls in C.
And now we can calculate the total number of boys who passed from B and C, 800 boys.
Next. the total number of students who passed with distinction from D, E and F are $$260+330+450=1040$$
the ratio of these students to the boys from B&C is $$\frac{1040}{800}=1.3$$
Which tells us that there are 30% more students who passed with distinction from D,E and F when compared to the number of boys from B&C.
Therefore, Option B is the correct answer.
