Neco 2025 Commerce Question 34

A wholesaler purchases goods at \(\text{₦}250\) each. He sets a list price with a \(30\%\) markup on cost, then gives a trade discount of \(5\%\) on the list price to all retailers. For orders exceeding 200 units he offers an additional volume discount of \(3\%\) on the discounted price. Each order also incurs a fixed handling charge of \(\text{₦}5,000\), which is allocated equally to the units ordered. Determine the smallest order quantity for which the profit per unit (after all discounts and after allocating the handling charge) is at least \(\text{₦}30\), and state the selling price per unit (before allocating the handling charge) for that order quantity.