Final answer:
Onyeka's loss as a percentage is calculated by taking the loss amount divided by the purchase price and multiplying by 100, resulting in a loss of 16.67%.
Step-by-step explanation:
The question involves calculating the percentage loss Onyeka experiences by selling an item at the same price that Lovena originally purchased the item, after Lovena had previously sold it to Onyeka at a 20% profit. If Lovena sells to Onyeka at a gain of 20%, we can assume the cost price for Lovena is 100 units of currency (for simplicity) and the selling price is 120 units. When Onyeka sells to Belema at Lovena's cost price (100 units), Onyeka's loss is the difference between the price he sold it for (100 units) and the price he bought it for (120 units), which is 20 units.
To find the percentage loss, we use the loss divided by the purchase price and multiply by 100. So the percentage loss for Onyeka is (20 / 120) × 100 = 16.67%.
Therefore, the correct answer is c) 16.67%.