It is common that Governments revise travel fares from time to time based on various factors such as inflation ( a general increase in prices and fall in the purchasing value of money) on different types of vehicles like auto, Rickshaws, taxis, Radio cab etc. The auto charges in a city comprise of a fixed charge together with the charge for the distance covered. Study the following situations
Name of the city 
Distance travelled (Km) 
Amount paid (Rs.) 
City A 
10 
75 
15 
110 

City B 
8 
91 
14 
145 
Situation 1:
In city A, for a journey of 10 km, the charge paid is
Rs 75 and for a journey of 15 km, the charge paid is Rs 110.
Situation 2:
In a city B, for a journey of 8km, the charge paid is
Rs 91 and for a journey of 14 km, the charge paid is Rs 145.
Refer Situation 1:
In city A, for a journey of 10 km, the charge paid is
Rs 75 and for a journey of 15 km, the charge paid is Rs 110.
Question 1
If the fixed charges of auto rickshaw be Rs x and the running charges be Rs y km/hr, the pair of linear equations representing situation is
(a) x + 10y = 110, x + 15y = 75
(b) x + 10y = 75, x + 15y = 110
(c) 10x + y = 110, 15x + y = 75
(d) 10x + y = 75, 15x + y =110
Refer Situation 1:
In city A, for a journey of 10 km, the charge paid is
Rs 75 and for a journey of 15 km, the charge paid is Rs 110.
Question 2
A person travels a distance of 50 km. The amount he has to pay is
(a) Rs 155
(b) Rs 255
(c) Rs 355
(d) Rs 455
Refer Situation 2:
In a city B, for a journey of 8km, the
charge paid is Rs 91 and for a journey of 14 km, the charge paid is Rs 145
Question 3
What will a person have to pay for travelling a distance of 30 km?
(a) Rs 185
(b) Rs 289
(c) Rs 275
(d) Rs 305
Question 4
The graph of lines representing the conditions are: (situation 2)