Average


  1. The average monthly income (in ₹) of certain agricultural workers is S and that of other workers is T. The number of agricultural workers is 11 times that of other workers. Then, the average monthly income (in ₹) of all the workers is :









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    Let the number of other workers be n.
    ∴ Number of agricultural workers = 11n

    ∴ Required average monthly income = S × 11n + n × T
    (11n + n)

    Correct Option: C

    Let the number of other workers be n.
    ∴ Number of agricultural workers = 11n

    ∴ Required average monthly income = S × 11n + n × T
    (11n + n)

    Required average monthly income = ₹11S + T
    12


  1. A man’s pension on retirement from service is equal to half the average salary during last 3 years of his service. His salary from 1-1-1983 is ₹380 per month with increment of ₹40 due on 1-10-83, 1-10-84 and 1-10-85, If he retires on 1-1-86, what pension does he draw per month?









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    O the basis of given details in question , we have
    Total salary of 3 years = ₹(380 × 9 + 420 × 12 + 460 × 12 + 500 × 3)
    Total salary of 3 years = ₹(3420 + 5040 + 5520 + 1500) = ₹15480
    Average monthly salary = 15480 ÷ 36 = ₹430

    Correct Option: B

    O the basis of given details in question , we have
    Total salary of 3 years = ₹(380 × 9 + 420 × 12 + 460 × 12 + 500 × 3)
    Total salary of 3 years = ₹(3420 + 5040 + 5520 + 1500) = ₹15480
    Average monthly salary = 15480 ÷ 36 = ₹430
    ∴ Amount of pension = 430 ÷ 2 = ₹215



  1. The average age of 3 friends is 23 years. Even if the age of 4th friend is added, the average age remains the same. Then the age of the fourth friend is :









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    Here , The average age of 3 friends = 23 years
    According to the question,
    Average age remains same.

    Correct Option: D

    Here , The average age of 3 friends = 23 years
    According to the question,
    Average age remains same.
    ∴ Fourth friend’s age = Average age of three friends = 23 years.


  1. Numbers of boys and girls are ‘x’ and ‘y’ respectively. Ages of a girl and a boy are ‘a’ years and ‘b’ years respectively. The average age (in years) of all boys and girls is









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    According to question ,
    Total age of boys = ap years
    Total age of girls = bq years

    Correct Option: C

    According to question ,
    Total age of boys = ap years
    Total age of girls = bq years

    ∴ Required average = ap + bq
    p + q



  1. Three years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby is:









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    Here , Three years ago, the average age of 5 members = 17 years.
    Total age of the family 3 years ago = 5 × 17 = 85 years
    Total present age of the family = 85 + 15 = 100 years
    Let the child’s present age be y years.
    According to the question,
    100 + y = 17 × 6 = 102

    Correct Option: A

    Here , Three years ago, the average age of 5 members = 17 years.
    Total age of the family 3 years ago = 5 × 17 = 85 years
    Total present age of the family = 85 + 15 = 100 years
    Let the child’s present age be y years.
    According to the question,
    100 + y = 17 × 6 = 102
    ⇒ y = 102 – 100 = 2 years
    Hence , the child’s present age is 2 years.