Instructions

Study the following information to answer these questions.
An organization consists of 1500 employees. The ratio of males to females is 17 : 13. All the employees work at five different floors named F1, F2, F3, F4 and F5. 28% of females are at floor F1. 18% of the males work at floor F2. One-fifth of the males work at floor-F5. The ratio of females to males at floor F2 is 2 : 3. And 25% of the total numbers of employees are at floor F3. Females working at floor F5 are 60% of the males working at the same floor. 18% of the females are at floor F4, The remaining females are at floor F3. 16% of the males work at floor F1 and the remaining males are working at floor F4

Question 87

Number of males working at floor F4, form what percent of the number of females working the same floor?

Solution

It is given that there are 1500 employees.

The ratio of males to females is 17:13, which means the number of males = (17/30)*1500 = 850 and the number of females = 650.

Let us make a table which has floor-wise distribution of males and females.

28% of females are at floor F1 = 28% of 650 = 182

18% of the males work at floor F2 = 18% of 850 = 153

One-fifth of the males work at floor F5 = 0.2*850 = 170

The ratio of females to males at floor F2 is 2 : 3, we know that males at F2 = 153

So, females at F2 = 153*(2/3) = 102

25% of the total number of employees are on floor F3 = 1500*0.25 = 375

Let us fill the details in the table.

Females working at floor F5 are 60% of the males working at the same floor.

We know that males working at F5 = 170,

So, females working at F5 = 60% of 170 = 102

18% of the females are at floor F4 = 18% of 650 = 117

The remaining females are at floor F3.

16% of the males work at floor F1 = 16% of 850 = 136

The remaining males are working at floor F4.

Let us again fill the table using above clues.

We know there are 650 females from F1 to F5.

Hence, 182+102+F3+117+102 = 650

503+F3 = 650

F3 = 650-503 =147

Also, we know the total number of employees in the building = 1500

Hence, 318+255+375+F4+272 = 1500

1220+F4 = 1500

F4 = 1500-1220 = 280