From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : The car hire charges in a city comprise of a fixed charges together with the charges for the distance covered. For a journey of 12 km, the charge paid is rs 89 and for a journey of 20 km, the charge paid is rs 145. What will a person have to pay for travelling a distance of 30 km?

From the pair of linear equations in the foIlowing problems and find their solution by 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 Rs. 105 and for a journey of 15 km, the charge paid is Rs 155. What are the fixed charges and the charge per km? How much does a person have to pay for travelling a distance of 25km?

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : There are rs 2 and rs 5 coins in a purse. If there are 60 coins of value rs 195, find the number of coins of each kind.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : A certain number of two digits is three times the sum of its digits and if 45 be added to i,t the digits will be reversed. Find the number.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : A man wanted to exchange Rs 1000 in 2 types of notes of Rs 5 and Rs 10 denominations. If he has 180 notes in all, find the number of notes of each kind.

Form the pair of linear equations in the following problems, 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 there after. Saritha paid Rs 27 for a book kept for seven days, while Susy paid ’ Rs 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : A part of monthly hostel charges in a college are fixed and remaining depend on number of days one has taken food in the mess. When a student A takes food for 20 days, he has to pay rs 1000 as hostel charges whereas student B who takes food for 26 days has to pay rs 1180 as hostel charges. Find fixed charges and cost of food per day.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :- The total expenditure per month of a household consists of a fixed rent of the house and mess charges depending upon the number of people sharing the house. The total monthly expenditure is ? 3900 for 2 people and 7500 for 5 people. Find the rent of the house and mess charges per head per month.