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In a school, 80% of the students play either football or cricket .....
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Updated on: 29 Oct 2018, 23:28
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Question Stats:
82% (01:45) correct 18% (02:17) wrong based on 114 sessions
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In a school, 80% of the students play either football or cricket, and the rest don’t play any sport. If 35% of the students, who play any sport, play only cricket, then what percent of students, in the school, play football?
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09 Oct 2018, 05:49
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EgmatQuantExpert wrote:
In a school, 80% of the students play either football or cricket, and the rest don’t play any sport. 35% of the students, who play any sport, play cricket. What percent of students, in the school, play football?
A. 42% B. 48% C. 52% D. 52.5% E. 65%
So say there are 100 students, 80 out of these play games. 35% of 80 play cricket, so remaining 65% of 80 play football =\(80*\frac{65}{100}=52\) So 52 out of 100 play football, in % it is 100*52/100=52%
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09 Oct 2018, 08:06
EgmatQuantExpert wrote:
In a school, 80% of the students play either football or cricket, and the rest don’t play any sport. If 35% of the students, who play any sport, play only cricket, then what percent of students, in the school, play football?
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11 Oct 2018, 04:30
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Solution
Given:
• 80% of the students, in a school, play either cricket or football and rest don’t play any sport • 35% of the students, who play a sport, play only cricket
To find:
• The percentage of students, in the school, who play football
Approach and Working:
• Let us assume that the total number of students in the school = 100x
o So, the number of students, who play cricket or football = 100x * \(\frac{80}{100}\) = 80x o The number of students, who play only cricket = 80x * \(\frac{35}{100}\) = 28x o This implies that the number of students, who play football = 80x - 28x = 52x
• Therefore, percentage of students, who play football = \((\frac{52x}{100x}) * 100 = 52\)%
Re: In a school, 80% of the students play either football or cricket .....
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12 Oct 2018, 07:53
EgmatQuantExpert wrote:
In a school, 80% of the students play either football or cricket, and the rest don’t play any sport. If 35% of the students, who play any sport, play only cricket, then what percent of students, in the school, play football?
A. 42% B. 48% C. 52% D. 52.5% E. 65%
Let’s assume there are 100 students in the school. So 80 of them play either football or cricket, and 0.35 x 80 = 28 students play only cricket. So 80 - 28 = 52 students play football (note: any of these 52 students can play only football or both football and cricket). Therefore, the percent of students who play football is 52/100 = 52%.
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18 Aug 2019, 00:48
Hi all, Can any of you please explain through a venn diagram? And can we just do this using percents only and not assuming the total value as 100 or 100X?
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18 Aug 2019, 01:25
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EgmatQuantExpert wrote:
In a school, 80% of the students play either football or cricket, and the rest don’t play any sport. If 35% of the students, who play any sport, play only cricket, then what percent of students, in the school, play football?
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82% (01:45) correct 
