Mukesh buys $15$ bananas for $\text{₹}125$ and sells $20$ bananas for $\text{₹}180$. Find the percentage of his profit.

To find the profit percentage, let's find the cost price and selling price for a uniform number of bananas (e.g., $1$ banana).Cost Price ($\text{CP}$) of $15$ bananas = $\text{₹}125$ $
$\text{CP of 1 banana}=\frac{125}{15}=\text{₹}\frac{25}{3}$$SellingPrice($ \text{SP}$)of$ 20$bananas=$ \text{₹}180
$\text{SP of 1 banana} = \frac{180}{20} = \text{₹}9
$$\text{Profit per banana}=\text{SP}-\text{CP}=9-\frac{25}{3}=\frac{27-25}{3}=\text{₹}\frac{2}{3}$$
$$\text{Profit Percentage}=\left(\frac{\text{Profit}}{\text{CP}}\times 100\right)\%$$
$$\text{Profit Percentage}=\left(\frac{\frac{2}{3}}{\frac{25}{3}}\times 100\right)\%=\left(\frac{2}{25}\times 100\right)\%=8\%$$