WAEC 2021 · Paper 2 · Q1

(a)
Kojo and Alidu invested $4,000.00 and $6,000.00 respectively in a business venture. After one year, a profit of $4,800.00 was realised. If after deduction of expenses of $1,280.00, the remainder is shared in proportion to their investment, find the amount received by each person.
Separate values with commas, e.g. 3, −2
(b)
The 8th term of an Arithmetic Progression (A.P.) is $-8$ and the 3rd term is 12. Find the: (i) common difference; (ii) first term.
Separate values with commas, e.g. 3, −2

Worked solution (try it first)

Remove the expenses first: $4800 - 1280 = 3520$ dollars to share.
Investments $4000 : 6000 = 2 : 3$ (5 parts), so one part is $\frac{3520}{5} = 704$ .
Kojo: $2 \times 704 = 1408$ , that is $1,408.00.
Alidu: $3 \times 704 = 2112$ , that is $2,112.00.