Study the given information and answer the questions that follow.
In companies A and B, the total number of employees is 3600. The ratio of the number 0', employees in A to that in B is 5 : 7. Each employee works in only one of the departments P. Q and R of the company. In company A, 60% of the total employees are males and the rest are females, whereas in company B, the ratio of males to females is 4 : 3.
In company A, 30% of the total female employees work in department Q, 20% of the remaining work in department R, and the rest in department P. Out of the total male employees in company A, 40% work in department P, $$\frac{2}{9}$$ of the remaining in department Q, and the remaining in department R.
In company B, one-third of the male employees work in department R. The number of male employees working in department P is 25% more than that working in department R. Out of the female employees in company B. 60% work in department P. The number of female employees in company B working in department Q is 90 more than the number of female employees in R.
The number of male employees working in department P in company A is what percentage more than the number of female employees working in department Q in company B?
Solution
Ratio of Number of employees in A and B = 5:7 and total employees = 3600. This means that the number of employees in A and B = 1500 and 2100 respectively.
Males in A = 60% of 1500 = 900 and Females = 600. Ratio of males to females in B = 4:3 which means that males in B = 1200 and females in B = 900.
For Females in A, 30% work in Q i.e. 180, 20% of the remaining in R i.e. 84 and the remaining in P i.e. 336.
For males in A, 40% work in P i.e. 360, 2/9th of the remaining in Q i.e. 120 and the remaining in R i.e. 420.
For males in B, one third work in R i.e. 400, 1.25*400 i.e. 500 work in P and the remaining work in Q i.e. 300.
For females in B, 60% work in P i.e. 540, 135 work in R and 225 work in Q.
The required percentage = $$\frac{360-225}{225}\times\ 100\ =\ 60\%$.
