In a village ,50% of the students play football, 60% of the student play basketball,40% of the student play cricket. 20% play both football and basketball ,20% play both football and cricket,25% play both cricket and baseketball.5% of the student play all the three games and 100 students play none of the games.How many students are there in the college?
Choose the most appropriate option.
A) 700  B) 800  C) 900  D) 1000  E) 1100
the student play all three games=5%   the student play only both football n bsketball=(20-5)= 
<gadget id="calculator">(20-5)</gadget>
<output>15</output>
15%   the student play only both football n cricket=(20-5)= 
<gadget id="calculator">(20-5)</gadget>
<output>15</output>
15%   the student play only both basketball n cricket=(25-5)= 
<gadget id="calculator">(25-5)</gadget>
<output>20</output>
20%   the student play only football=(50-15-15-5)= 
<gadget id="calculator">(50-15-15-5)</gadget>
<output>15</output>
15%   the student play only basketball=(60-15-20-5)= 
<gadget id="calculator">(60-15-20-5)</gadget>
<output>20</output>
20%   the student play only cricket=(40-15-20-5)= 
<gadget id="calculator">(40-15-20-5)</gadget>
<output>0</output>
0%   so sdtudent play games=(0+20+15+15+15+20+5)= 
<gadget id="calculator">(0+20+15+15+15+20+5)</gadget>
<output>90</output>
90%   so student does not play games=(100-90)= 
<gadget id="calculator">(100-90)</gadget>
<output>10</output>
10%   as 10%=100 student den 100%=1000 student   there are 1000 student in the college   ANSWER:1000
<result>D</result>
In a village ,50% of the students play football, 60% of the student play basketball,40% of the student play cricket. 20% play both football and basketball ,20% play both football and cricket,25% play both cricket and baseketball.5% of the student play all the three games and 100 students play none of the games.How many students are there in the college?