Directions: A college having an equal number of boys and girls organi...
Thrice of the product of number of girls enrolled in all the three companies which are 5 and the number of boys enrolled in all the three companies which is 4 times that of girls is equal to total number of girls taking part in Placement drive.
Therefore Number of girls enrolled in all the three events = 5
Number of boys enrolled in all the three Companies = 5 × 4 = 20
Their product = 3 × (5 × 20) = 300 = Total number of girls enrolled themselves in placement drive
Now ratio of girls to boys in the placement drive = 6 : 7
Therefore number of boys = 350
Total number of students Enrolled themselves in Placement drive = 300 + 350 = 650
According to question, 65% of students enrolled for placement drive
Therefore total number of students in the college
⇒ (650 x 100) / 65
⇒ 1000
Girls enrolled only for Infosys = 20% of total number of girls = 60
Boys enrolled only for Infosys = 20% of total number of boys = 70
Girls enrolled only for Tech Mahindra = 40% of total number of girls = 120
Boys enrolled only for tech Mahindra = 40% of total number of boys = 140
Girls enrolled only for Wipro = 10% of total number of girls = 30
Boys enrolled only for Wipro = 10% of total number of boys = 35
Number of girls enrolled in Both Infosys and Tech Mahindra is 1.5% of total number of students in the school = 15
Number of girls enrolled in both Infosys and Wipro is 4 % of total number of students in college = 40
Number of girls enrolled in both Tech Mahindra and Wipro is 3% of total number of students in College = 30
Number of Boys enrolled in both Infosys and Tech Mahindra is 2% of total number of students in the college = 20
Number of boys enrolled in both Infosys and Wipro only is 3% of total number of students in college = 30
Number of boys enrolled in both Wipro and Tech Mahindra is 3.5% of total number of students in college = 35
Total number of students in the college = 1000
⇒ 500 boys and 500 girls
Number of students enrolled only for one company
⇒ 60 + 120 + 30 + 70 + 140 + 35 = 455
Number of students enrolled for two companies
⇒ 15 + 30 + 40 + 20 + 30 + 35 = 170
Number of students enrolled for all three companies
⇒ 20 + 5 = 25
Total registration fees collected at placement drive
⇒ 455 × 100 + 170 × 75 + 25 × 50
⇒ Rs. 59500
Hence, the correct option is (B).