1.

1600 employees are working in an office. Among these employees the number of men exceeded the number of women by 15% of the total number of employees. The number of unmarried employees are 800 less than the number of married employees. The number of unmarried women is 195. Represent the above data in a suitable table.

Answer»

In the given data, there are two attributes:

  1. Sex of employees and
  2. Marital status.

According to these two attributes data is classified and table is prepared as follows :
Table showing the number of employees working in an office according to their sex and marital status

Marital statusSexTotal employees
MaleFemale
Married7154851200
Unmarried205195400
Total9206801600

Explanation:

Suppose, the number of males = x.
∴ No. of females = 1600-x
No. of males = No. of females + 1600 x 15100
∴ x = 1600 – x + 240
∴ 2x = 1840
∴ x = 920
∴ No. of females = 1600 – 920 = 680

Suppose the number of married employees = x
∴ No. of unmarried employees = 1600 – x
Now, No. of unmarried employees = No. of married employees – 800.
∴ 1600 – x = x – 800
∴ 2x = 1600 + 800 = 2400
∴ x = 1200
∴ No. of unmarried employees = 1600 – 1200
= 400]
[Note: The figures shown in bold are obtained by simple calculation.


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