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2003 WAEC Mathematics Theory The table shows the monthly contributions and expenditure pattern of an employee in 1999. Item...

Mathematics
WAEC 2003

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.

 

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Explanation

(a) 

Items Percentage(%) Degree in pie chart
Pension 5 \(\frac{5}{100} \times 360° = 18°\)
Income tax 25 \(\frac{25}{100} \times 360° = 90°\)
Food 40 \(\frac{40}{100} \times 360° = 144°\)
Transport 10 \(\frac{10}{100} \times 360° = 36°\)
Rent 12.5 \(\frac{12.5}{100} \times 360° = 45°\)
Others 7.5 \(\frac{7.5}{100} \times 360° = 27°\)
  100 360°

A pie- chart showing the monthly contributions and expenditure pattern of an employee in 1999.

(b)(i) \(360° = N10,800.00\)

\(\text{Pension} - 18° = \frac{18}{360} \times N10,800\)

= \(N540\)

(ii) \(360° = N10,800.00\)

\(\text{Income tax} - 90° = \frac{90}{360} \times N10,800\)

= \(N2700\)

(c) The percentage sum of pension and income tax = (5 + 25)% = 30%

Take home pay = 100% - 30% = 70%

= \(\frac{70}{100} \times N10,800\)

= \(N7560\)


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