The table below shows how a man spends his income in a month. Items Amount Spent Food N4500 House Rent N3000 Provisions N2500 Electricity N2000 Transportati...

Assessment: WAEC SSCE - General Mathematics - 2008 (Essay) Subject: General Mathematics

Question 1 Report

The table below shows how a man spends his income in a month.

Items Amount Spent
Food N4500
House Rent N3000
Provisions N2500
Electricity N2000
Transportation N5000
Others N3000

(a) Represent the information on a pie chart.

(b) What percentage of his income is spent on transportation?

Answer Details

Total monthly income

\[4500+3000+2500+2000+5000+3000=N20\,000\]

(a) Pie chart

The angle for each sector is:

\[\text{Sector angle}=\frac{\text{amount spent}}{20\,000}\times360^\circ\]

ItemAmount (₦)Sector angle
Food4,500\(\frac{4500}{20000}\times360^\circ=81^\circ\)
House Rent3,000\(54^\circ\)
Provisions2,500\(45^\circ\)
Electricity2,000\(36^\circ\)
Transportation5,000\(90^\circ\)
Others3,000\(54^\circ\)
Total20,000\(360^\circ\)

The required pie chart is:

graph
Pie chart of the man's monthly expenditure: Food 81°, House Rent 54°, Provisions 45°, Electricity 36°, Transportation 90°, and Others 54°.

(b)

\[\text{Percentage spent on transportation}=\frac{5000}{20000}\times100\%=25\%\]

Therefore, 25% of his income is spent on transportation.

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