Fractions


  1. 4/7 of a pole is in the mud. When 1/3 of it is pulled out, 250 cm of the pole is still in the mud. Find the full length of the pole .
    1. 1000
    2. 1100
    3. 950
    4. 1050
    5. None of the above

  1. View Hint View Answer Discuss in Forum

    Let us assume length of pole is L.
    Length of the pole in Mud is = L x 4/7 = 4L/7
    Length of the Pole which is pulled out = L x 1/3 = L/3
    Length of the pole is still in mud = Length of the pole in Mud - Length of the Pole which is pulled out
    Length of the pole is still in mud = 4L/7 - L/3
    According to question,
    Length of the pole is still in mud = 250
    4L/7 - L/3 = 250
    Solve the equation and find the answer.

    Correct Option: D

    Let us assume length of pole is L.
    Length of the pole in Mud is = L x 4/7 = 4L/7
    Length of the Pole which is pulled out = L x 1/3 = L/3
    Length of the pole is still in mud = Length of the pole in Mud - Length of the Pole which is pulled out
    Length of the pole is still in mud = 4L/7 - L/3
    According to question,
    Length of the pole is still in mud = 250
    4L/7 - L/3 = 250
    (4L x 3 - L x 7)/7 x 3 = 250
    12L - 7L = 250 x 21
    5L = 250 x 21
    L = 250 x 21/5
    L = 50 x 21
    L = 1050