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Question 2
A private taxi company charges a fixed charge along with a per kilometre charge based on the distance covered. For a journey of 24 km, the charges paid are ₹368 and for a journey of 32 km,the charges paid are ₹464. How much will a person have to pay for travelling a distance of 15 km?
Solution
Charge for 24 km = 368
Charge for 32 km = 464
Difference in km = 32 - 24 = 8 km
Charge for 8 km = 464 - 368 = 96
Charge for 1 km = 96/8 = Rs. 12
Fixed charge = 368 - 12 $$\times$$ 24 = 368 - 288 = 80
Charge for 15 km = 80 + 12 $$\times$$ 15 = 80 + 180 = Rs.260
$$\therefore$$ The correct answer is option C.
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