Question

In certain city the Taxi charges comprise of a fixed charge and the charge of the distance travelled. A person paid Rs. 156 for a journey of 16 km and another person paid Rs. 204 for the journey of 24 km. The amount paid by a passenger who has travelled 30 km is 
1. 236
2. 240
3. 248
4. 256

Answer 1

Correct Answer - Option 2 : 240

Given

In certain city the Taxi charges comprise a fixed charge and the charge of the distance travelled. A person paid Rs. 156 for a journey of 16 km and another person paid Rs. 204 for the journey of 24 km.

Calculation

Let the fixed charge be Rs. 'x'

And let the charge of 1 km travelled be Rs. 'y'

x + 16y = 156      _____(1)

And x + 24y = 204      _____(2)

Subtracting equation (1) from equation (2), we get

8y = 48

⇒ y = 6

By putting the value of y in equation (1) we get,

x = 156 - 16(6) = 60

∴ The amount paid by a passenger who has travelled 30 km = x + 30y

⇒ 60 + 30(6) = 60 + 180 = Rs. 240