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Home Aptitude Decimal Fraction See What Others Are Saying!
  • Question
  • A, B, C and D purchase a gift worth ? 60. A pays 1/2 of what others are paying, B pays 1/3rd of what other are paying and C pays 1/4th of what others are paying. What is the amount paid by D?


  • Options
  • A. 14
  • B. 15
  • C. 16
  • D. 13

  • Correct Answer
  • 13 

    Explanation

    Let A, B, C and D pay ?x, ?y, ?z and ?a
    According to the question,
    x = 1/2(y + z + a)
    2x = (y + z + a) ..........(i)
    y = 1/3(x + z + a)
    3y = (x + z + a) ...........(ii)
    z = 1/4(x + y + a)
    4z = (x + y + a) ..........(iii)
    Also, x + y + z + a = 60 ...............(iv)
    Now, put the value of x + y + a = 4z from (iii) in (iv)
    Then, 4z + z = 60 ? 5z = 60
    ? z = 12
    Similarly, on putting the value of x + z + a = 3y from (ii) in (iv), we get
    3y + y = 60 = ? 4y = 60
    ? y = 15
    Again, on putting the value of (y + z + a) = 2x from (i) in (iv), we get
    2x + x = 60 ? 3x = 60
    &ther4; x = 20
    Now, x + y + z + a = 60
    On putting the value of x, y and z, we get
    12 + 15 + 20 + a = 60
    ? a = 60 - 47 = ? 13


  • More questions

    • 1. 
      A and B together can complete a work in 3 days. They started together but after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in how many days?

    • Options
    • A. 5
    • B. 6
    • C. 7
    • D. 10
    • Discuss
    • 2. 
      A wheel makes 1000 revolutions in covering a distance of 88 km. the diameter of the wheel is?

    • Options
    • A. 24 meters
    • B. 40 meters
    • C. 28 meters
    • D. 14 meters
    • Discuss
    • 3. 25, 36, 49, 81, 121, 169, 225

    • Options
    • A. 36
    • B. 49
    • C. 121
    • D. 169
    • Discuss
    • 4. 
      (.896 x .752 +.896 x .248) / (.7 x .034 + .7 x.966) =?

    • Options
    • A. 1.28
    • B. 0.976
    • C. 12.8
    • D. 9.76
    • Discuss
    • 5. 
      Einstein goes from Ahmedabad To Lucknow at the speed of 40 km/hr and returned at the speed of 60 km/hr .the average speed of Einstein during the whole journey is

    • Options
    • A. 48 km/hr
    • B. 24 km/hr
    • C. 50 km/hr
    • D. none of these
    • Discuss
    • 6. 
      Today is Monday. After 61 days, it will be

    • Options
    • A. Wednesday
    • B. Saturday
    • C. Tuesday
    • D. Thursday
    • Discuss
    • 7. 9548 + 7314 = 8362 + (?)

    • Options
    • A. 8230
    • B. 8410
    • C. 8500
    • D. 8600
    • E. None of these
    • Discuss
    • 8. 
      The true discount on a certain sum due 1 yr hence at 30% per annum, is ? 240. What is the banker' discount on the same sum for the same time and at the same rate?

    • Options
    • A. ? 400
    • B. ? 212
    • C. ? 312
    • D. ? 445
    • Discuss
    • 9. 
      Calendar of month July is same as that of which month of previous year.

    • Options
    • A. May
    • B. September
    • C. April
    • D. None of these
    • Discuss
    • 10. 
      A coin is successively tossed two times. Find the probability of getting? (1) exactly one head (2)at least one head

    • Options
    • A. 1/2 , 3/4
    • B. 2/3, 1/4
    • C. 1/4, 4/5
    • D. 1/2, 2/3
    • Discuss


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