the taxi charges ina city comprise of a fixed charge together with the charge for the distance covered. for a journey of 10km the charge paod is ₹75 and for a jrny of 15km the charge paid is 110. what will a person have to pay for travelling a distance of 25km.
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Answer:
Rs. 180
Step-by-step explanation:
Let the fixed charge of taxi be Rs. x per km and the running charge be ` y per km.
According to the question,
x + 10y = 75 --------------- [1]
x + 15y = 110 -------------- [2]
Subtracting equation [2] from equation [1], we get
– 5y = – 35
⟹ y = 7
Putting y = 7 in equation [1], we get x = 5
∴Total charges for travelling a distance of 25 km = x + 25y
= (5 + 25 × 7)
= (5 + 175)
= Rs. 180
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