Question

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%**.