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? (a) Rs 236 (b) Rs 240 (c) Rs 248 (d) Rs 252

Options

A. Rs. 236
B. Rs. 240
C. Rs. 248
D. Rs. 252

Answer

B

Explanation

Let the fixed charge be Rs. X and the distance charge be Rs. Y per km.
` therefore X + 16 Y= 156` ....(i)
` X + 24 Y = 204 ` ..(ii)
We get from (i) and (ii), X = 60, Y = 6
` therefore ` Cost to be paid for a distance of 30 kms
= 60 + 30 Y
`= 60+ 30 xx 6 = Rs.240`