Champa went to a 'Sale' to purchase some pants and skirts. When her friends asked her how many of each she had bought,she answered,"The number of skirts is two less than twice the number of pants purchased. Also,the number of skirts is four less than four times the number of pants purchased". Help her friends to find how many pants and skirts Champa bought.

The coach of a cricket team buys $3$ bats and $6$ balls for ₹ $3900$. Later,she buys another bat and $3$ more balls of the same kind for ₹ $1300$. Represent this situation algebraically and geometrically.

In a $\Delta ABC$,$\angle C = 3 \angle B = 2(\angle A + \angle B)$. Find the three angles.

Which of the following pairs of linear equations are consistent/inconsistent? If consistent,obtain the solution graphically: $2x - 2y - 2 = 0, 4x - 4y - 5 = 0$.

Form the pair of linear equations for the following problem and find their solution by the substitution method.
The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of $10 \, km$,the charge paid is ₹ $105$ and for a journey of $15 \, km$,the charge paid is ₹ $155$. What are the fixed charges and the charge per $km$? How much does a person have to pay for travelling a distance of $25 \, km$?

Form the pair of linear equations for the following problem,and find their solutions (if they exist) by the elimination method:
$A$ lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid ₹ $27$ for a book kept for seven days,while Susy paid ₹ $21$ for the book she kept for five days. Find the fixed charge and the charge for each extra day.