Question

What is the ratio of the number of postgraduates in the Legal department to the number of postgraduates in the HR department?

• A. 8 : 11
• B. 3 : 5
• C. 24 : 55
• D. 12 : 25
• E. None of these

Answer 1

The correct option is C 24 : 55

Number of employees from the HR department $=\frac{25\times 5200}{100}=1300$
Number of graduate employees $=\frac{1300\times 45}{100}=585$
Number of postgraduate employees $=1300-585=715$
Number of employees from the Marketing department $=\frac{12\times 5200}{100}=624$
Number of postgraduate employees $=312$
Number of graduate employees $=312$
Number of employees from the Finance department $=\frac{18\times 5200}{100}=936$
Number of post graduate employees $=936\times \frac{3}{4}=702$
Number of graduate employees $=936-702=234$
Number of employees from the IT department $=\frac{30\times 5200}{100}=1560$
Number of postgraduate employees $=546$
Number of graduate employees = $1560-546=1014$
Number of employees from the Legal department $=\frac{15\times 5200}{100}=780$
Number of graduate employees $=\frac{60\times 780}{100}=468$
Number of postgraduate employees $=780-468=312$

Required ratio $=312:715=24:55$