2. How much must I sell it for? a. You are buying sweets for 45 c each and you want fo make a $$ 25 \% $$ profil. How much must you sell them forद _ [amount]. b. You are buying pens for $$ R 1.27 $$ each and you want to make a $$ 17 \% $$ profit. How much must you sell them for? (amount). c. On Saturdays you hire a stall of the local feo-market for R R 50 . You buy f for R1 50 per box and you normally sell 200 units per Soturday. If you wh

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UpStudy AI · Accepted Answer

Let's solve each part of the problem step by step.

### Part a:
You are buying sweets for $$ 45 $$ cents each and want to make a $$ 25\% $$ profit.

1. **Calculate the cost price (CP)**:
   $$
   CP = 0.45 \text{ (in Rands)}
   $$

2. **Calculate the desired profit**:
   $$
   \text{Profit} = CP \times \frac{25}{100} = 0.45 \times 0.25
   $$

3. **Calculate the selling price (SP)**:
   $$
   SP = CP + \text{Profit}
   $$

Now, let's calculate the selling price.

### Part b:
You are buying pens for $$ R 1.27 $$ each and want to make a $$ 17\% $$ profit.

1. **Calculate the cost price (CP)**:
   $$
   CP = 1.27
   $$

2. **Calculate the desired profit**:
   $$
   \text{Profit} = CP \times \frac{17}{100} = 1.27 \times 0.17
   $$

3. **Calculate the selling price (SP)**:
   $$
   SP = CP + \text{Profit}
   $$

Now, let's calculate the selling price for both parts.

### Part c:
You hire a stall for $$ R 50 $$ and buy boxes for $$ R 1.50 $$ each, selling $$ 200 $$ units per Saturday.

1. **Calculate the total cost for boxes**:
   $$
   \text{Total Cost} = \text{Cost of Stall} + (\text{Cost per Box} \times \text{Number of Boxes})
   $$
   Here, the number of boxes is $$ 200 $$.

2. **Calculate the selling price per unit**:
   To find the selling price per unit, we need to determine the total revenue needed to cover the total cost and then divide by the number of units sold.

Now, I will perform the calculations for parts a and b, and then set up the calculations for part c.
Calculate the value by following steps:
- step0: Calculate:
  $$0.45\times 0.25$$
- step1: Multiply the numbers:
  $$0.1125$$
Calculate or simplify the expression $$ 1.27 * 0.17 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$1.27\times 0.17$$
- step1: Multiply the numbers:
  $$0.2159$$
Calculate or simplify the expression $$ 0.45 + 0.1125 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$0.45+0.1125$$
- step1: Add the numbers:
  $$0.5625$$
Calculate or simplify the expression $$ 1.27 + 0.2159 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$1.27+0.2159$$
- step1: Add the numbers:
  $$1.4859$$
Calculate or simplify the expression $$ 50 + (1.50 * 200) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$50+\left(1.5\times 200\right)$$
- step1: Multiply the numbers:
  $$50+300$$
- step2: Add the numbers:
  $$350$$
### Solutions:

#### Part a:
1. **Cost Price (CP)**: $$ R 0.45 $$
2. **Profit**: 
   $$
   \text{Profit} = 0.45 \times 0.25 = R 0.1125
   $$
3. **Selling Price (SP)**: 
   $$
   SP = 0.45 + 0.1125 = R 0.5625
   $$

**Selling Price for sweets**: $$ R 0.5625 $$

#### Part b:
1. **Cost Price (CP)**: $$ R 1.27 $$
2. **Profit**: 
   $$
   \text{Profit} = 1.27 \times 0.17 = R 0.2159
   $$
3. **Selling Price (SP)**: 
   $$
   SP = 1.27 + 0.2159 = R 1.4859
   $$

**Selling Price for pens**: $$ R 1.4859 $$

#### Part c:
1. **Total Cost**:
   $$
   \text{Total Cost} = 50 + (1.50 \times 200) = R 350
   $$

To find the selling price per unit, you would need to determine how much you want to sell each unit for to cover the total cost. If you want to break even, you would sell each unit for:
$$
\text{Selling Price per unit} = \frac{\text{Total Cost}}{\text{Number of Units}} = \frac{350}{200} = R 1.75
$$

### Summary:
- **Selling Price for sweets**: $$ R 0.5625 $$
- **Selling Price for pens**: $$ R 1.4859 $$
- **Selling Price per unit for boxes**: $$ R 1.75 $$ (to break even)
To make a $$ 25\% $$ profit on sweets bought at $$ 45 $$ cents each, you should sell them for $$ R 0.56 $$ each. For pens bought at $$ R 1.27 $$ each with a $$ 17\% $$ profit, you should sell them for $$ R 1.49 $$ each. To cover the costs of hiring a stall and buying boxes, you need to sell each box for $$ R 1.75 $$.

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