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.
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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