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 89

Number of males working at floor F1; form approximately what percent of total number of employees in the organisation?

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