BECE Mathematics 2020 Paper

Profit = Selling Price - Cost PriceProfit Percent = Profit/Cost Price x 100Since Profit = Selling Price - Cost Price, substituting it in the second equation,Profit Percent = (Selling Price - Cost Price)/Cost Price × 100Profit percent = 8Selling Price = 72Let Cost Price = CP$\Rightarrow 8=\frac{(72-C P)}{C P} \times 100$$\Rightarrow 8=\frac{(72-C P)}{C P} \times 100$Multiplying both sides by CP$\;8 \times C P=(72-C P) \times 100$$\;(72-C P) \times 100=72 \times 100-C P \times 100=7200-100 C P$$\;8 \times C P=(72-C P) \times 100 \Rightarrow$$\;8 C P=7200-100 C P$Moving the -100 CP to the left size $\Rightarrow$$\;8 C P+100 C P=7200$$\;108 C P=7200$Dividing both sides by 108$C P=\frac{7200}{108}=66.666667=67 \; \text{ (Nearest whole number) } \;$