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)