Question

The table shows the monthly expenditure (in percentage) of Mr Okafor's salary: Food 35%, Fuel 7.5%, Rent 10%, Building project 15%, Education 17.5%, Savings x%.
(a) Illustrate the information on a pie chart.
(b) Find the value of x.
(c) If Mr Okafor's annual gross salary is $28,800.00 and he pays a tax of 12%, calculate: (i) his tax; (ii) amount saved.

Accepted Answer

(b) Since all percentages must sum to 100%: 35+7.5+10+15+17.5+x = 100, so 85+x=100, giving x = 15% (Savings).

(a) Pie chart sectors (percentage x 360 degrees): Food = 35% x 360 = 126 degrees; Fuel = 7.5% x 360 = 27 degrees; Rent = 10% x 360 = 36 degrees; Building project = 15% x 360 = 54 degrees; Education = 17.5% x 360 = 63 degrees; Savings = 15% x 360 = 54 degrees. (Sum = 360 degrees, confirming the chart.)

(c)(i) Tax = 12% of annual gross salary = 12/100 x $28,800 = $3,456.
Net salary after tax = $28,800 - $3,456 = $25,344.
(ii) Amount saved = 15% of the net salary = 15/100 x $25,344 = $3,801.60.

GCE Mathematics 2022 Theory — Question 8

Sign up free to unlock