Question

10. A woman bought 130kg of tomatoes for #52,000.00. She sold half of the tomatoes at a profit of 30%. The rest of the tomatoes began to go bad, so she then reduced the selling price per kg by 12%. Calculate:
(a) the new selling price per kg;
(b) the percentage profit on the entire sales if she threw away 5kg of bad tomatoes.

Accepted Answer

Cost price of 130kg = #52,000, so cost price per kg = #52,000/130 = #400.
(a) At 30% profit, selling price/kg = #400 + (30/100×#400) = #400+#120 = #520. When reduced by 12%: new selling price/kg = #520 − (12/100×#520) = #520−#62.40 = #457.60.

(b) Half of 130kg = 65kg sold at #520/kg: selling price = #520×65 = #33,800.
If 5kg were thrown away, the remaining 60kg was sold at #457.60/kg: selling price = #457.60×60 = #27,456.
Total selling price = #33,800+#27,456 = #61,256. Profit on whole sales = #61,256−#52,000 = #9,256.
Percentage profit = (#9,256/#52,000)×100% ≈ 17.8%.

WAEC Mathematics 2019 Theory — Question 12

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