a trader buys 200 oranges for 60 kobo and sells them at 8 for 12 kobo what is the gain per cent

Answer 1

To find the gain percentage, we first need to calculate the cost price (CP), selling price (SP), and profit.

1. Cost Price (CP): The cost price for 200 oranges is 60 kobo.

2. Selling Price (SP): The trader sells the oranges at 8 for 12 kobo. To find out how much he earns from selling all 200 oranges, we first determine how many sets of 8 oranges are there in 200 oranges:

   \[ \text{Number of sets of 8 in 200} = \frac{200}{8} = 25 \]

   Now, we find the total selling price:

   \[ \text{Total Selling Price} = \text{Number of sets} \times \text{Price per set} = 25 \times 12 = 300 \text{ kobo} \]

3. Profit: Profit is calculated as the difference between selling price and cost price:

   \[ \text{Profit} = \text{SP} - \text{CP} = 300 - 60 = 240 \text{ kobo} \]

4. Gain Percentage: Gain percentage is calculated as:

   \[ \text{Gain Percentage} = \left(\frac{\text{Profit}}{\text{CP}}\right) \times 100 \]

   Plugging in the values:

   \[ \text{Gain Percentage} = \left(\frac{240}{60}\right) \times 100 = 4 \times 100 = 400% \]

Therefore, the gain percentage is 400%.