Q. 20

# In annual sports,

Given: Percentage of students that took part in 100 m race=20%

Percentage of students that took part in 200m race =15%

Percentage of students that took part in long jump =10%

Percentage of students that took part in all of these events=5%

Total students=780

Tip: : x% of y means .

No data about percentage of students is given taking part in both 100m and 200m.

No data about percentage of students is given taking part in both 200m and long jump.

No data about percentage of students is given taking part in both 100m and long jump.)

Assuming that the above said percentages are 0 we draw a Venn diagram. From the above Venn diagram it is clear that the percentage of students not participating in any event is 65%

(Calculation

=100%-(% of 100m only+ % of 200m only +% of long jump only +% of

all three)

=100%-(15+10+5+5)%

=65%)

Therefore, no. of students not participating

= =507 students.

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