Latest UPSC Aptitude Question SOLUTION: In certain city the Taxi charges comprise of a fixed charge and the charge of the distance travelled. A person paid 156 for a journey of 16 km and another person paid 204 for the j

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(#M40030534) UPSC question Keep an EYE

In certain city the Taxi charges comprise of a fixed charge and the charge of the distance travelled. A person paid 156 for a journey of 16 km and another person paid 204 for the journey of 24 km. The amount paid by a passenger who has travelled 30 km is

Asked In UPSC Nivya (10 years ago)

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KRISHNAN  (10 years ago)

Answer is Rs 240

Putting the problem in the form of equation .
Assume the fixed charge for travel is x and variable to be y
so for travelling 16 km the total cost is x + 16y = 156 .. equation 1
and for travelling 24 km the cost is x + 24y = 204 ..... equation 2
from equation 1 we can derive that x = 156 - 16y ... equation 3
putting equation 3 in 2 we get
156 - 16y + 24y = 204 or 8y = 48 or y = 6
putting y = 6 in eqation 3 we get x = 156-96 or x = 60
So now the fixed cost is 60 and variable cost is 6
for traveling 30 kms the cost would be Rs 60 + (30 x 6) = Rs 240

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swastik  (10 years ago)

let the fixed cost is X.
the charge per 1km is Y
then the two eqn are X+16Y=156
X+24Y=204

solving these 2 eqns we will get y=6
and X=60

so per 3okm the ans is 240

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Akshay wadhwa  (10 years ago)

240 = 60+ 30*6

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tanvir  (10 years ago)

Shortcut:
Find the difference between charge and kilometers separately.
204-156=48 Rupees
24-16=8 K.m.
From the above facts, if it is 48 rupees for 8 km.
Then it will be 36 rupees for 6 km.
So 204 rupees for 24 km and for additional 6 km it will be 36 rupees.
sof for 30 k.m. it will be 204+36=240.
Think logically.
No need of formulas.

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