Final answer:
To find the percentage profit, calculate the cost and revenue. Subtract the cost from the revenue to find the profit. Finally, divide the profit by the cost and multiply by 100% to find the percentage profit.
Step-by-step explanation:
To calculate the percentage profit the company should make, we first need to calculate the total cost of making the lapel pins and the total revenue from selling them.
Cost:
- Cost to make each lapel pin = £1.10
- Total cost to make 1000 lapel pins = £1.10 x 1000 = £1100
Revenue:
- 35% of 1000 lapel pins are given to charities, so the company sells 65% of 1000 lapel pins
- 60% of the lapel pins are sold at £3.00 each, making the revenue from selling 600 lapel pins = £3.00 x 600 = £1800
- 40% of the lapel pins are sold at £5.00 for 2, meaning each pair of lapel pins is sold for £5.00, making the revenue from selling 400 lapel pins = (£5.00/2) x 400 = £1000
Total revenue from selling 1000 lapel pins = £1800 + £1000 = £2800
Profit = Revenue - Cost = £2800 - £1100 = £1700
Percentage profit = (Profit / Cost) x 100% = (£1700 / £1100) x 100% = 154.5%