(Q20).The taxi charges in Hyderabad are fixed, along with the charge for the distance covered. For a distance of 10 km., the charge paid is Rs. 220. For a journey of 15 km. the charge paid is Rs. 310.

(i) What are the fixed charges and charge per km?

(ii) How much does a person have to pay for travelling a distance of 25km?

Let the fixed charge be = Rs. x.

and the charge per one km = Rs. y.

By problem, x + y = x + y =

Solving (1) and (2) we get

x + y =

x + y =

(-)

-y = -
∴ y =
-
-
 =

i.e., charge per one km = Rs.

Substituting y = 18 in equation (1) we get

x + 10 × = 220

⇒ x = 220 –

⇒ x = Rs.

∴ Fixed charge = Rs. ;

Charge per km = Rs. .

(ii) Now, the charge for travelling a distance of 25 km

= 25 ×

= Rs. + 40

= Rs.