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A taxi service charges a fixed base fare plus a variable rate per kilometre. For a 10 km trip, Raju paid ₹230 and for a 15 km trip, Meena paid ₹330. W
Question

A taxi service charges a fixed base fare plus a variable rate per kilometre. For a 10 km trip, Raju paid ₹230 and for a 15 km trip, Meena paid ₹330. What is the base fare and the per-kilometre charge?

A.

Base fare = ₹30; Per-kilometre Charge = ₹20

B.

Base fare = ₹50; Per-kilometre Charge = ₹18

C.

Base fare = ₹40; Per-kilometre Charge = ₹18

D.

Base fare = ₹60; Per-kilometre Charge = ₹15

Correct option is A

Given:
Amount paid for 10 km = 230
Amount paid for 15 km = 330
Formula Used:
Total Fare = Base Fare + (Distance × Rate per km)
Solution:
Let the base fare be B and the per-kilometre charge be R.
For the 10 km trip:
B + 10R = 230
For the 15 km trip:
B + 15R = 330
Subtracting the first equation from the second gives the cost for the extra 5 km:
5R = 100
R = 20
Substitute the value of R in the first equation:
B + 10(20) = 230
B + 200 = 230
B = 30
Final Answer
So the correct answer is (a)

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