I bought 6 pencils at 5kobo each but sold them at 3kobo each what was my percentage loss

Answer 1

To calculate the percentage loss, let's first determine the total cost price (CP) and the total selling price (SP) of the pencils.

1. Total Cost Price (CP):

   • Cost per pencil = 5 kobo
   • Number of pencils = 6

   \[ \text{Total CP} = 5 \text{ kobo/pencil} \times 6 \text{ pencils} = 30 \text{ kobo} \]

2. Total Selling Price (SP):

   • Selling price per pencil = 3 kobo
   • Number of pencils = 6

   \[ \text{Total SP} = 3 \text{ kobo/pencil} \times 6 \text{ pencils} = 18 \text{ kobo} \]

3. Calculate Loss:

   • Loss = Total CP - Total SP

   \[ \text{Loss} = 30 \text{ kobo} - 18 \text{ kobo} = 12 \text{ kobo} \]

4. Calculate Percentage Loss: \[ \text{Percentage Loss} = \left( \frac{\text{Loss}}{\text{Total CP}} \right) \times 100 \]

   \[ \text{Percentage Loss} = \left( \frac{12 \text{ kobo}}{30 \text{ kobo}} \right) \times 100 \approx 40% \]

Therefore, the percentage loss is 40%.