Answer :
Sure, let's tackle each part of the problem step by step:
### Part 1: Calculating the Profit Percentage
1. Given Values:
- Cost Price per Unit: R7
- Selling Price: R14
2. Computing Profit:
- Profit is calculated as the difference between the Selling Price and the Cost Price.
- Profit = Selling Price - Cost Price = R14 - R7 = R7
3. Computing Profit Percentage:
- Profit Percentage is calculated as (Profit / Cost Price) 100.
- Profit Percentage = (R7 / R7) 100 = 100.0%
Therefore, the profit percentage of the item is 100.0%.
### Part 2: Calculating the Break-Even Point
1. Given Values:
- Cost Price per Doll: R39
- Packaging Cost per Doll: R1
- Selling Price per Doll: R100
- Fixed Costs per Month: R12,000
2. Calculating the Variable Cost per Doll:
- Total Variable Cost per Doll = Cost Price per Doll + Packaging Cost per Doll
- Variable Cost per Doll = R39 + R1 = R40
3. Calculating the Profit per Doll:
- Profit per Doll is calculated as the difference between the Selling Price per Doll and the Variable Cost per Doll.
- Profit per Doll = Selling Price per Doll - Variable Cost per Doll = R100 - R40 = R60
4. Calculating the Break-Even Point:
- Break-Even Point is calculated as Fixed Costs / Profit per Doll.
- Break-Even Point = R12,000 / R60 = 200.0 dolls
Therefore, the company needs to sell 200 dolls each month to reach the break-even point.
### Part 1: Calculating the Profit Percentage
1. Given Values:
- Cost Price per Unit: R7
- Selling Price: R14
2. Computing Profit:
- Profit is calculated as the difference between the Selling Price and the Cost Price.
- Profit = Selling Price - Cost Price = R14 - R7 = R7
3. Computing Profit Percentage:
- Profit Percentage is calculated as (Profit / Cost Price) 100.
- Profit Percentage = (R7 / R7) 100 = 100.0%
Therefore, the profit percentage of the item is 100.0%.
### Part 2: Calculating the Break-Even Point
1. Given Values:
- Cost Price per Doll: R39
- Packaging Cost per Doll: R1
- Selling Price per Doll: R100
- Fixed Costs per Month: R12,000
2. Calculating the Variable Cost per Doll:
- Total Variable Cost per Doll = Cost Price per Doll + Packaging Cost per Doll
- Variable Cost per Doll = R39 + R1 = R40
3. Calculating the Profit per Doll:
- Profit per Doll is calculated as the difference between the Selling Price per Doll and the Variable Cost per Doll.
- Profit per Doll = Selling Price per Doll - Variable Cost per Doll = R100 - R40 = R60
4. Calculating the Break-Even Point:
- Break-Even Point is calculated as Fixed Costs / Profit per Doll.
- Break-Even Point = R12,000 / R60 = 200.0 dolls
Therefore, the company needs to sell 200 dolls each month to reach the break-even point.