Final answer:
To achieve a 5% profit, the remaining eggs should be sold at a rate of $1.05 per egg.
Step-by-step explanation:
To find the rate at which the remaining eggs should be sold to achieve a 5% profit, we need to consider the cost of the eggs and the desired profit. Let's assume the cost of each egg is $1. The profit on each egg would be 5% of $1, which is $0.05.
If we want to achieve a 5% profit on all the eggs, we need to sell each egg for the cost price per egg plus the profit per egg, which is $1 + $0.05 = $1.05.
Therefore, the rate at which the remaining eggs should be sold is $1.05 per egg.