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  • Question
  • The auto-rickshaw fare consists of a fixed charge together with the charge for the distance covered. For a journey of 10 km, the charge paid is ?85 and for a journey of 15 km, the charge paid is ?120. The fare for a journey of 25 km will be


  • Options
  • A. ?175
  • B. ?190
  • C. ?180
  • D. ?225

  • Correct Answer
  • ?190 

    Explanation

    Let use assume the fixed charge = ? a
    and charge for 1 km is ? = b
    According to question,
    for 10 KM journey charge paid = 85
    a + 10 x b = 85
    a + 10b = 85 .........................(1)
    for 15 KM journey charge paid = 120
    a + 15b = 120.........................(2)
    Subtract the equation (1) from equation (2). we will get,
    a + 15b - a - 10b = 120 - 85
    5b = 35
    b = 7
    Put the value of b in equation (1). we will get
    a + 10 x 7 = 85
    a = 85 - 70
    a = 15
    Charges for 25 km = a + 25 x b
    Put the value of a and b in above equation.
    Charges for 25 km =15 + 25 x 7 = 15 + 175 = 190
    Charges for 25 km =?190


  • More questions

    • 1. 
      ?. x 2 ? 6x = 7
      ?. 2y 2 + 13y + 15 = 0

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 2. 
      If U = {a, b, c, d, e, f}, A = {a, b, c}, find (U ? A)?.

    • Options
    • A. U
    • B. A
    • C. ?
    • D. None of these
    • Discuss
    • 3. 
      Mukul's income is 10% more than Sunil's. How much less is Sunil's income than that of Mukul's?

    • Options
    • A. 8.09 %
    • B. 9.09 %
    • C. 7.09 %
    • D. 7.90 %
    • Discuss
    • 4. 3, 7, 15, 39, 63, 127, 255, 511

    • Options
    • A. 7
    • B. 15
    • C. 39
    • D. 63
    • E. 127
    • Discuss
    • 5. 19, 26, 33, 46, 59, 74, 91

    • Options
    • A. 26
    • B. 33
    • C. 46
    • D. 59
    • E. 74
    • Discuss
    • 6. If the number 481 * 673 is completely divisible by 9, then the smallest whole number in place of * will be:

    • Options
    • A. 2
    • B. 5
    • C. 6
    • D. 7
    • E. None of these
    • Discuss
    • 7. 6, 13, 18, 25, 30, 37, 40

    • Options
    • A. 25
    • B. 30
    • C. 37
    • D. 40
    • Discuss
    • 8. 
      The true discount on a certain bill due for nine months at 4 % simple interest is ?150. Find the amount of the bill.

    • Options
    • A. ?5150
    • B. ?5250
    • C. ?4750
    • D. ?5650
    • Discuss
    • 9. 
      The present worth of $ 220.50 due in 2 years reckoning compound interest at 5 % is :

    • Options
    • A. $ 200
    • B. $ 197.5
    • C. $ 202
    • D. $ 192.25
    • Discuss
    • 10. 
      The value of 12x2y4z3 ÷ (2xy2 × 3yz2) will be :

    • Options
    • A. 2xyz
    • B. xyz
    • C. 1 xyz
    • D. 2 xyz
    • Discuss


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