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Directions: Study the following information carefully to answer the questions. In national sport selection there are 2400 player’s present for selection process from MP and UP. Each player from each state plays one or more sport out of Cricket, Football, Hockey. 45% of the players are from MP

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Directions: Study the following information carefully to answer the questions.

In national sport selection there are 2400 player’s present for selection process from MP and UP. Each player from each state plays one or more sport out of Cricket, Football, Hockey. 45% of the players are from MP and remaining players are from UP. Out of the players from MP, boys and girls are in the ratio of 5 : 4 respectively. Out of the boys from MP, 16% plays only Cricket, 15% play only Football and 8% play only Hockey. 16% play Cricket as well as Football. 15% play Cricket as well as Hockey. 10% play Football as well as Hockey. Remaining boys play all three games. Out of the girls from MP, 20% play only Cricket, 10% play only Football and 10% play only Hockey. 20% play Cricket as well as Football. 20% play Cricket as well as Hockey. 10% play Football as well as Hockey. Remaining girls play all three sport. Out of the players from UP boys and girls are in the ratio of 4 : 7 respectively. Out of the boys from UP, 20% play only Cricket, 15% play only Football and 5% play only Hockey. 15% play Cricket as well as Football. 25% play Cricket as well as Hockey. 10% play Football as well as Hockey. Remaining boys play all three sport. Out of the girls studying in UP, 25% play only Cricket, 12% play only Football and 8% play only Hockey. 15% play Cricket as well as Football. 10% play Cricket as well as Hockey. 15% play Football as well as Hockey. Remaining girls play all three sport.
Total how many % less or more Players in the selection play all three sport with respect to girls from Up who play all three sport?
1). 84% more
2). 84% less
3). 73% more
4). 73% less


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1 answers

3 vote
Answered by on | Votes 3 |

State

Gender

Only Cricket

Only Football

Only Hockey

Cr + Ft

Cr + Hk

Ft + Hk

Hk + Cr + Ft

 

MP

(45 % of 2400)

1080

Boy

(B/G = 5 : 4)

600

(16%)

96

 

(15%)

90

 

 

(8%)

48

 

 

 

(16%)

96

 

 

 

(15%)

90

 

 

 

(10%)

60

 

 

(Remaining)

(20%)

120

 

Girl

(B/G = 5 : 4)

480

(20%)

96

 

(10%)

48

 

(10%)

48

 

(20%)

96

 

(20%)

96

 

(10%)

48

 

(Remaining)

(10%)

48

 

UP

(Remaining)

(55 % of 2400)

1320

Boy

(B/G = 4 : 7)

480

(20%)

96

 

(15%)

72

 

(5%)

24

 

(15%)

72

 

(25%)

120

 

(10%)

48

 

(Remaining)

(10%)

48

 

Girl

(B/G = 4 : 7)

840

(25%)

210

 

(12%)

101

 

(8%)

67

 

(15%)

126

 

(10%)

84

 

(15%)

126

 

(Remaining)

(15%)

126

 

 

Boy’s from MP play all three sport = 120

Girl’s from MP play all three sport = 48

Boys’s from UP play all three sport = 48

Girl’s from UP play all three sport = 126

Total player play all three sport = 120 + 48 + 48 + 126 = 342

Required % $(= \;\frac{{342 - 126}}{{126}} \times 100\; = \;171.42\%)$

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