The below graph shows the results of boys and girls in different standards.

Study the graph and answer the question that follows.

In which standard is the ratio of boys' performance to girls' performance 3 : 2?

Correct option is A

Given: ​

Standard    Boys' Result (%)   Girls' Result (%)

V               80                           60

VI              80                          70

VII            40                           60

VIII           90                           60

IX             70                           80

X              70                           60

​Solution:​

Calculating the Ratio for Each Standard

V: $$\frac{80}{60} = \frac{4}{3}$$​ (Not 3 : 2)

VI: $$\frac{80}{70} = \frac{8}{7}$$​ (Not 3 : 2)

VII: $$\frac{40}{60} = \frac{2}{3}$$​ (Not 3 : 2)

VIII: $$\frac{90}{60} = \frac{3}{2}$$​ (Matches 3 : 2)

IX: $$\frac{70}{80} = \frac{7}{8}$$​ (Not 3 : 2)

X:  $$\frac{70}{60} = \frac{7}{5}$$​ (Not 3 : 2)

Only Standard VIII satisfies the ratio 3 : 2

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