
To find the monthly income of the family, we need to use the information given in the pie chart. The pie chart represents the distribution of the family's monthly budget, including categories like Food, Conveyance, Clothing, House Rent, Miscellaneous Expenses, and Savings. The segment 'F' represents Savings, which is given as Rs. 4500.
From the pie chart, Savings (F) represents 15% of the total monthly income. We can use this percentage to find the total monthly income of the family.
The formula to calculate the total income based on the percentage and amount is:
\(\text{Savings} = \left( \frac{\text{Savings Percentage}}{100} \right) \times \text{Total Income}\)
Substituting the given values:
\(4500 = \left( \frac{15}{100} \right) \times \text{Total Income}\)
Now, solve for Total Income:
\(\text{Total Income} = \frac{4500 \times 100}{15}\)
\(\text{Total Income} = \frac{450000}{15}\)
\(\text{Total Income} = 30000\)
Therefore, the monthly income of the family is Rs. 30000.
Light Chemicals is an industrial paint supplier with presence in three locations: Mumbai, Hyderabad and Bengaluru. The sunburst chart below shows the distribution of the number of employees of different departments of Light Chemicals. There are four departments: Finance, IT, HR and Sales. The employees are deployed in four ranks: junior, mid, senior and executive. The chart shows four levels: location, department, rank and gender (M: male, F: female). At every level, the number of employees at a location/department/rank/gender are proportional to the corresponding area of the region represented in the chart.
Due to some issues with the software, the data on junior female employees have gone missing. Notice that there are junior female employees in Mumbai HR, Sales and IT departments, Hyderabad HR department, and Bengaluru IT and Finance departments. The corresponding missing numbers are marked u, v, w, x, y and z in the diagram, respectively.
It is also known that:
a) Light Chemicals has a total of 210 junior employees.
b) Light Chemicals has a total of 146 employees in the IT department.
c) Light Chemicals has a total of 777 employees in the Hyderabad office.
d) In the Mumbai office, the number of female employees is 55.




