The table shows the monthly contributions and expenditure pattern of an employee in 1999.
Item
Percentage
Pension
5
Income Tax
25
Food
40
Transport
10
Rent
12.5
Others
7.5
(a) Draw a pie chart to illustrate the data.
(b) If the employee's gross monthly salary was N10,800.00, calculate (i) the pension contribution of the employee ; (ii) the income tax paid by the employee.
(c) If the pension contribution and income tax were deducted from the gross monthly salary, before payment, calculate the take- home pay of the employee.
Verified Correct Answer: .
Step-by-Step Mathematical Solution
(a)
Items
Percentage(%)
Degree in pie chart
Pension
5
\(\frac{5}{100} \times 360^\circ = 18^\circ\)
Income tax
25
\(\frac{25}{100} \times 360^\circ = 90^\circ\)
Food
40
\(\frac{40}{100} \times 360^\circ = 144^\circ\)
Transport
10
\(\frac{10}{100} \times 360^\circ = 36^\circ\)
Rent
12.5
\(\frac{12.5}{100} \times 360^\circ = 45^\circ\)
Others
7.5
\(\frac{7.5}{100} \times 360^\circ = 27^\circ\)
100
360^\circ
A pie- chart showing the monthly contributions and expenditure pattern of an employee in 1999.
(b)(i) \(360^\circ = N10,800.00\)
\(\text{Pension} - 18^\circ = \frac{18}{360} \times N10,800\)
= \(N540\)
(ii) \(360^\circ = N10,800.00\)
\(\text{Income tax} - 90^\circ = \frac{90}{360} \times N10,800\)
= \(N2700\)
(c) The percentage sum of pension and income tax = (5 + 25)% = 30%
Take home pay = 100% - 30% = 70%
= \(\frac{70}{100} \times N10,800\)
= \(N7560\)
Source: Myschool Past Questions Archive (Record #53300)