(a) A man purchased 180 copies of a book at..

Question 1 Report

(a) A man purchased 180 copies of a book at N250.00 each. He sold y copies at N300.00 each and the rest at a discount of 5 kobo in the Naira of the cost price.

If he made a profit of N7,125.00, find the value of y.

(b) A trader bought x bags of rice at a cost C = 24x + 103 and sold them at a price, S = $\frac{x^{2}}{20} - 33 x$ .

Find the expression for the profit (i) If 20 bags of rice were sold,

(ii) calculate the percentage profit.

Answer

(a) Total cost 180 x 250

=N45,000.00

Total selling price = 300y + (180-y) x 250 x $\frac{95}{100}$

300y + 42750 -237.5y

= 62.5y + 42750

Profit = 62.5y + 42750 -4500

7125 = 62.5y - 2250

9375 = 62.5y

y = 150

(b)) Profit = $\frac{x^{2}}{20} - 33 x$ (24x+ 103)

9x - $\frac{x^{2}}{20}$ - 103

(ii) Cost = 24(20) +103 = 583.00

Selling Price =33(20) - $\frac{20^{2}}{20}$ = 640

Percentage profit = $\frac{640 - 583}{583}$ x 100%

= 9.78%

Read lesson note on Modular Arithmetic (WAEC)

Read lesson note on Financial Arithmetic (WAEC)

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