WAEC Mathematics 2003 Theory question 107

Theory question 107

Data Presentation

The table shows the monthly contributions and expenditure pattern of an employee in 1999.
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.

Show the model answer
Model answer

(a) Angles (percentage × 3.6°): Pension 18°, Income Tax 90°, Food 144°, Transport 36°, Rent 45°, Others 27°. Draw and label the sectors.
(b)(i) 5% of 10,800 = N540.00.
(ii) 25% of 10,800 = N2,700.00.
(c) Take-home pay = 10,800 − 540 − 2,700 = N7,560.00.

Explanation

1% of the whole is 3.6° on a pie chart.