Directions (56-60) : Read the bar graph carefully and answer the following questions.

The bar graph given below shows the no. of employees working from Office and percentage of employees working from home out of total employee in five different companies.

Number of employees working in any company = Employees working from Office + Employees working from Home

Number of employees working in company X are 40% more than that in company D. Find the difference between number of employees working from Home and employees working from Office in company X, if ratio of employee working from home to that from office in company X is 11: 17.

The correct option is 126.

Step 1: Extract data for Company D from the given bar graph.

From the given bar graph, for company D:

• Number of employees working from Office = 210

• Percentage of employees working from Home = 50%

Since the percentage of employees working from Home is 50%, the remaining percentage of employees working from Office is also:

$100\%-50\%=50\%$

Therefore, 50% of the total employees in company D equals 210.

Total number of employees in company D = $\frac{210}{50}\times 100=420$

Step 2: Calculate the total number of employees in Company X.

The problem states that the number of employees working in company X is 40% more than that in company D.

Total employees in company X = $420\times (1+\frac{40}{100})=420\times 1.4=588$

Step 3: Calculate the number of employees working from Home and Office in Company X.

The ratio of employees working from home to that from office in company X is given as 11 : 17.

Total ratio parts = $11+17=28$

• Value of 1 ratio part = $\frac{588}{28}=21$

• Employees working from Home in company X = $11\times 21=231$

• Employees working from Office in company X = $17\times 21=357$

Step 4: Find the difference between employees working from Home and Office in Company X.

Difference = $357-231=126$

(Alternatively, difference in ratio units = $17-11=6$ units, so $6\times 21=126$).

Thus, the required difference is 126.