The taxi charges in Hyderabad are fixed, along with the charge for the distance covered. Upto first $3 \mathrm{km}$ you will be charged a certain minimum amount. From there onwards you have to pay additionally for every kilometer travelled. For the first $10 \mathrm{km}$, the charge paid is $₹166$. For a journey of $15 \mathrm{km}$. the charge paid is $₹256$.
What are the fixed charges and charge per $\mathrm{km}$?

The taxi charges in Hyderabad are fixed, along with the charge for the distance covered. Upto first $3 \mathrm{km}$ you will be charged a certain minimum amount. From there onwards you have to pay additionally for every kilometer travelled. For the first $10 \mathrm{km}$, the charge paid is $₹166$. For a journey of $15 \mathrm{km}$. the charge paid is $₹256$.

How much does a person have to pay for travelling a distance of $25 \mathrm{km}$?

You have $₹12,000$ saved amount, and wants to invest it in two schemes yielding $10\%$ and $15\%$ interest. How much amount should be invested in each scheme so that you should get overall $12\%$ interest.

Solve each of the following pairs of equations by reducing them to a pair of linear equations.

$\begin{array}{l}\frac{5}{x-1}+\frac{1}{y-2}=2\\ \frac{6}{x-1}-\frac{3}{y-2}=1\end{array}$