General Mathematics Paper 2,Nov/Dec. 2010
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Question 6

(a) In a class of 50 students, 30 offered History, 15 offered History and Geography while 3 did not offer any of the two subjects.
(i)Represent the information on a Venn diagram.
(ii)Find the number of candidates that offered:
(A) History only;
(B) Geography only.
(b) A trader sold an article at a discount of 8% for N 828.00. If the article was initially marked to gain 25%, find the
(i)cost price of the article;
(ii)discount allowed.

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Observation

Part (a) was reported to be well attempted by majority of the candidates. They were able to draw the required Venn diagram correctly and were also able to determine the number who offered History only and Geography only correctly. Candidates were expected to draw the Venn diagram thus:
From the diagram, n(H) only = 30 - 15 = 15.
n(G only) = 50 - 30 - 3 = 17
In part (b), candidates' performance was reported to be poor. Their responses were reported to indicate candidates' poor understanding of transactions involving discounts. They were expected to show that if 8% discount was given, then N 828.00 is equal to 92% of the marked price. Therefore, the marked price = N 828 x100                                                                                                                                                                                              92
= N 900.00. Since it was initially marked to gain 25%, it implied that N 900 = 125% of the cost price. Hence the cost price =  900     =  900 x100
125        125%

which gave N 720.00. The discount allowed = N (900 - 828) = N 72.00.