Find out What Amount is to be Paid to Cover a Distance of 35

To travel by an auto rickshaw, a fixed price and a variable charge per km are to be paid. To cover a distance of 15 km, one has to pay an amount of Rs. 135 and for 25 km distance, an amount of Rs. 215 is to be Paid. Find out what amount is to be paid to cover a distance of 35 km

  1. Rs. 285
  2.   Rs. 275
  3.   Rs. 280
  4.   Rs. 295
Harsh Vardhan Professor Asked on 6th September 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) Rs. 295

    Explanation:-
    Let the fixed price of a rickshaw = Rs. X and the variable charge = Rs. Y

    To cover a distance of 15 km, one has to pay an amount of Rs. 135.
    Then, X + 15Y = 135  ……………………… (1)
    To cover a distance of 25 km, an amount of Rs. 215.
    Then,  X + 25Y = 215 ……………………… (2)

    Equation (1) is subtracted from (2),
    Then, X + 25 Y – X – 15 Y = 215 – 135
    10 Y = 80
    Y = 8
    Put the value of Y = 8 in equation (1),
    X + 15 x 8 = 135
    X  = 135 – 120
    X = 15

    Then, the amount of 35 km = 15 + 35 x 8
    = 15 + 280
    = 295

    Hence, the answer is (4) Rs. 295.

    Anurag Mishra Professor Answered on 8th September 2015.
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