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The taxi charges in a city comprise of a fixed charge, together with the charge of the distance covered. For a journey of 16 km, the charges paid are Rs. 156 and for a journey of 24 km, the charges paid are Rs. 204. What will a person have to pay for travelling a distance of 30 km?

Correct Answer: Rs. 240

Explanation:

Let the fixed charge be Rs. x and variable charge be Rs.y per km. Then,


x + 16y = 156 ...(i) and


x + 24y = 204 ...(ii)


Solving (i) and (ii), we get: x = 60, y = 6.


Therefore Cost of travelling 30 km = 60 + 30 y = Rs. (60 + 30 x 6) = Rs. 240.


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