(c) She bought cakes for $$ \$ 5.50 $$ each and sold them for $$ \$ 4.84 $$ each. Work out the percentage loss on each cake.

Question

UpStudy AI · Accepted Answer

To determine the **percentage loss** on each cake, follow these steps:

### 1. Calculate the **Loss per Cake**

The loss is the difference between the **Cost Price (CP)** and the **Selling Price (SP)**.

$$
\text{Loss} = \text{CP} - \text{SP}
$$

Given:
- Cost Price, $$ \text{CP} = \$5.50 $$
- Selling Price, $$ \text{SP} = \$4.84 $$

$$
\text{Loss} = \$5.50 - \$4.84 = \$0.66
$$

### 2. Calculate the **Percentage Loss**

The percentage loss is calculated using the formula:

$$
\text{Percentage Loss} = \left( \frac{\text{Loss}}{\text{CP}} \right) \times 100\%
$$

Substituting the known values:

$$
\text{Percentage Loss} = \left( \frac{\$0.66}{\$5.50} \right) \times 100\%
$$

$$
\text{Percentage Loss} = \left( 0.12 \right) \times 100\% = 12\%
$$

### **Conclusion**

The **percentage loss** on each cake is **12%**.
The percentage loss on each cake is 12%.

(c) She bought cakes for \( \$ 5.50 \) each and sold them for \( \$ 4.84 \) each. Work out the percentage loss on each cake.