Answer:
To calculate Alan's profit percentage, we need to first find his total cost and total revenue.
Total cost:
Alan pays £2.25 for 1.2 kg of sweets, which is equivalent to 1200 g of sweets. Therefore, the cost per gram of sweets is:
Cost per gram = £2.25 ÷ 1200 g = £0.001875/g
Alan puts 150 g of sweets in each bag, so the cost of sweets per bag is:
Cost per bag = 150 g × £0.001875/g = £0.28125
To find the total cost, we divide the total weight of sweets by the weight of sweets in each bag and multiply by the cost per bag:
Total cost = (1.2 kg ÷ 150 g) × £0.28125 = £2.25
Total revenue:
Alan sells each bag of sweets for 30p, so the total revenue is:
Total revenue = (1.2 kg ÷ 150 g) × £0.30 = £2.40
Profit:
To find Alan's profit, we subtract the total cost from the total revenue:
Profit = £2.40 - £2.25 = £0.15
Profit percentage:
To calculate the profit percentage, we divide the profit by the total cost and multiply by 100:
Profit percentage = (Profit ÷ Total cost) × 100%
= (£0.15 ÷ £2.25) × 100%
= 6.67%
Therefore, Alan's percentage profit is 6.67%.