Let the fixed charge for taxi = Rs x
And variable cost per km = Rs y
Total cost = fixed charge + variable charge
Given that for a distance of 10 km, the charge paid is Rs 105
x + 10y = 105 … (i)
⇒ x = 105 - 10y
Given that for a journey of 15 km, the charge paid is Rs 155
x + 15y = 155 … (ii)
Substituting the value of x in equation (ii), we get
105 - 10y + 15y = 155
⇒ 5y = 155 - 105
⇒ 5y = 50
Dividing by 5, we get
y=505=10
Substituting this value in equation (i) we get
x = 105 - 10 × 10
x = 5
People have to pay for traveling a distance of 25 km
= x + 25y
= 5 + 25 × 10
= 5 + 250
= 255
A person have to pay Rs 255 for 25 Km.