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
AÂ Â Â Â Â Â Â 800Â Â Â Â Â Â 640Â Â Â Â Â Â 300Â Â Â Â Â Â Â Â Â Â Â 340Â Â Â Â Â Â Â Â Â Â Â Â Â Â 160
BÂ Â Â Â Â Â Â 1050Â Â Â Â Â 840Â Â Â Â Â Â 350Â Â Â Â Â Â Â Â Â Â Â 490Â Â Â Â Â Â Â Â Â Â Â Â Â 210
CÂ Â Â Â Â Â Â 1200Â Â Â Â Â 920Â Â Â Â Â Â 450Â Â Â Â Â Â Â Â Â Â Â 470Â Â Â Â Â Â Â Â Â Â Â Â Â 280
DÂ Â Â Â Â Â Â Â 750Â Â Â Â Â 600Â Â Â Â Â Â 260Â Â Â Â Â Â Â Â Â Â Â 340Â Â Â Â Â Â Â Â Â Â Â Â Â 150
EÂ Â Â Â Â Â Â Â 900Â Â Â Â Â 750Â Â Â Â Â Â 330Â Â Â Â Â Â Â Â Â Â Â 420Â Â Â Â Â Â Â Â Â Â Â Â Â Â 150
FÂ Â Â Â Â Â Â 1500Â Â Â Â Â 1000Â Â Â Â Â 450Â Â Â Â Â Â Â Â Â Â Â 550Â Â Â Â Â Â Â Â Â Â Â Â Â 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.Â
And now we can calculate the total number of boys who passed from B and C, 800 boys.Â
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.Â
Therefore, Option B is the correct answer. Â
