Question from Ashutosh
In a school of 500 students 20% do not play football 10% do not play cricket and 4% neither play football nor cricket.
- find out how many play football but not cricket?
- How many students play both the games?
Since question talks about percentages, first convert them into absolute values
|Total students (U)||100%||500|
|Don’t play football||20%||1/5th of 500=100|
|Don’t play cricket||10%||50|
|Neither football nor cricket (n)||4%||20|
Don’t play cricket ONLY
= don’t play cricket Minus green color area
Don’t play football only
Q1. Find out how many play football but not cricket
Ask yourself, what does the orange portion represent?
Those who donot play cricket only.
=those who play football but not cricket
Answer : 30 students play football but not cricket.
Q2: How many students play both the games?
Do the sum of all numbers inside the colored circles
It means there are 130 students who donot play one or more games.
But consider the white area outside those colored circles. What does it represent?
It represents the students who’re not in these circles.
Means the white area outside those circle, represents those students who play both games, because such student cannot be classified in orange, green or blue circle
Total students in the school
=orange + green + blue + white
It Means, 370 students play both games.