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.
In which of the following pairs of schools is the percentage of students who passed without distinction to those who appeared the same?
Solution
After reading the chart, we can get the data:
School Total Passed Distinction Without distinction
A 800 640 300 340
B 1050 840 350 490
C 1200 920 450 470
D 750 600 260 340
E 900 750 330 420
F 1500 1000 450 550
Finding the percentage of students who passed without distinction to the total number of students who appeared we get:
A = $$\frac{340}{800}\times\ 100=42.5\%$$
B = $$\frac{490}{1050}\times\ 100=46.67\%$$
C = $$\frac{470}{1200}\times\ 100=39.1667\%$$
D = $$\frac{340}{750}\times\ 100=45.33\%$$
E = $$\frac{420}{900}\times\ 100=46.667\%$$
F = $$\frac{550}{1500}\times\ 100=36.67\%$$
We can see that B and E have the same percentage which aligns with option B.
Therefore, Option B will be the correct answer.
