Work and Wages


  1. A can complete a piece of work in 10 days, while B alone can complete it in 15 days. They work together for 5 days and rest of the work is done by C in 2 days. If they receive $ 450 for the whole work, how should they divide the money?









  1. View Hint View Answer Discuss in Forum

    According to question , we have
    Here , Received money = $ 450

    (A + B)’s 5 day’s work = 51 + 1
    1015
    (A + B)’s 5 day’s work = 53 + 2 =5
    306
    Remaining work = 1 - 5 =1
    66

    ∴ C’s 2 days’ work =
    1
    6

    Now, A’s 5 days’ work : B’s 5 days’ work : C’s 2 days’ work =
    5
    :
    5
    :
    1
    = 3 : 2 : 1
    10 15 6

    ∴ A’s share = $ 450 x
    3
    = $ 225
    6

    Correct Option: B

    According to question , we have
    Here , Received money = $ 450

    (A + B)’s 5 day’s work = 51 + 1
    1015
    (A + B)’s 5 day’s work = 53 + 2 =5
    306
    Remaining work = 1 - 5 =1
    66

    ∴ C’s 2 days’ work =
    1
    6

    Now, A’s 5 days’ work : B’s 5 days’ work : C’s 2 days’ work =
    5
    :
    5
    :
    1
    = 3 : 2 : 1
    10 15 6

    ∴ A’s share = $ 450 x
    3
    = $ 225
    6

    B’s share = $ 450 x
    2
    = $ 150
    6

    C’s share = $[450 - ( 225 + 150 )] = $75


  1. Two men, A and B, working together, completed a piece of work. If worked individually, it would have taken them 30 and 40 days to complete the work. If they have received a payment of $2100, then B’s share is:









  1. View Hint View Answer Discuss in Forum

    As per the given above question ,
    Given that :- Total received payment = $2100

    B’s 1 days’ work =1
    30
    A’s 1 days’ work =1
    40
    ∴ Share of A and B should be in the ratio =1 : 1= 4 : 3
    3040

    Correct Option: A

    As per the given above question ,
    Given that :- Total received payment = $2100

    B’s 1 days’ work =1
    30
    A’s 1 days’ work =1
    40
    ∴ Share of A and B should be in the ratio =1 : 1= 4 : 3
    3040
    B’s share = $
    3
    x 2100 = $900
    7



  1. A can do a piece of work in 8 days. A undertook to it for $320. With the help of B, he finishes the work in 6 days. B’s share is:









  1. View Hint View Answer Discuss in Forum

    As we know that ,
    Here, Total amount = $320

    (A + B)’s 1 day’s work =1
    6
    A’s 1 days’ work =1
    8

    ∴ B’s 1 days’ work = (A + B)’s 1 day’s work - A’s 1 days’ work
    B’s 1 days’ work =
    1
    -
    1
    =
    1
    6 8 24

    ∴ Money should be divided in the ratio =
    1
    :
    1
    = 3 : 1
    8 24
    ∴ B gets = $
    B 's ratio
    x Total amount
    Sum of both ratios

    Correct Option: A

    As we know that ,
    Here, Total amount = $320

    (A + B)’s 1 day’s work =1
    6
    A’s 1 days’ work =1
    8

    ∴ B’s 1 days’ work = (A + B)’s 1 day’s work - A’s 1 days’ work
    B’s 1 days’ work =
    1
    -
    1
    =
    1
    6 8 24

    ∴ Money should be divided in the ratio =
    1
    :
    1
    = 3 : 1
    8 24
    ∴ B gets = $
    B 's ratio
    x Total amount
    Sum of both ratios
    ∴ B gets = $
    1
    x 320= $ 80
    4


  1. If 6 persons working 8 hours a day earn $8400 per week, then 9 persons working 6 hours a day will earn per week:









  1. View Hint View Answer Discuss in Forum

    On the basis of above given question , we have
    Here , Total Earning = $8400
    Work done by 6 persons = in 8 hours
    And Work done by 9 persons = in 6 hours

    Required sum = 8400 x
    6
    x
    9
    8 6

    Correct Option: C

    On the basis of above given question , we have
    Here , Total Earning = $8400
    Work done by 6 persons = in 8 hours
    And Work done by 9 persons = in 6 hours

    Required sum = 8400 x
    6
    x
    9
    = $ 9450
    8 6



  1. 3 persons undertake to complete a piece of work for $1,200. The first person can complete the work in 8 days, second person in 12 days and third person in 16 days. They complete the work with the help of a fourth person in 3 days. What does the fourth person get?









  1. View Hint View Answer Discuss in Forum

    Let the fourth person complete the entire work in D days.
    Given :- Total amount = $1,200
    Now, according to the question,

    3
    +
    3
    +
    3
    +
    3
    =1
    8 12 16D

    1
    =
    1
    -
    1
    -
    1
    -
    1
    =
    16 - 6 - 4 - 3
    =
    1
    D 3 8 12 16 48 16

    ∴ D = 16
    Ratio of wages =
    1
    :
    1
    :
    1
    :
    1
    =6 : 4 : 3 : 3
    8 12 16 16

    Sum of ratios = 6 + 4 + 3 + 3 = 16
    ∴ Fourth person’s share =
    Fourth person’s ratio
    x Total amount
    Sum of all ratios

    Correct Option: C

    Let the fourth person complete the entire work in D days.
    Given :- Total amount = $1,200
    Now, according to the question,

    3
    +
    3
    +
    3
    +
    3
    =1
    8 12 16D

    1
    =
    1
    -
    1
    -
    1
    -
    1
    =
    16 - 6 - 4 - 3
    =
    1
    D 3 8 12 16 48 16

    ∴ D = 16
    Ratio of wages =
    1
    :
    1
    :
    1
    :
    1
    =6 : 4 : 3 : 3
    8 12 16 16

    Sum of ratios = 6 + 4 + 3 + 3 = 16
    ∴ Fourth person’s share =
    Fourth person’s ratio
    x Total amount
    Sum of all ratios

    Fourth person’s share =
    3
    x 1200 = $ 225.
    16