Percentage


  1. If a number x is 10% less than another number y and y is 10% more than 125, then x is equal to









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    y =
    110
    × 125 = 137.5
    100

    ∴ x = 90% of y
    =
    90 × 137.5
    = 123.5
    100

    Correct Option: D

    y =
    110
    × 125 = 137.5
    100

    ∴ x = 90% of y
    =
    90 × 137.5
    = 123.5
    100


  1. An interval of 3 hours 40 minutes is wrongly estimated as 3 hours 45.5 minutes. The error percentage is









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    Error = 5.5 minutes
    ∴ Error per cent

    =
    5.5
    × 100 = 2.5 per cent
    3 × 60 + 40

    Correct Option: D

    Error = 5.5 minutes
    ∴ Error per cent

    =
    5.5
    × 100 = 2.5 per cent
    3 × 60 + 40



  1. In a village, each of the 60% of families has a cow; each of the 30% of families has a buffalo and each of the 15% of families has both a cow and buffalo. In all there are 96 families in the village. How many families do not have a cow or a buffalo ?









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    Per cent of families having either a cow or a buffalo or both = 60 + 30 – 15 = 75
    It means 25 per cent of families do not have a cow or a buffalo.
    ∴ Required number of families

    = 25% of 96 = 96 ×
    25
    = 24
    100

    Correct Option: B

    Per cent of families having either a cow or a buffalo or both = 60 + 30 – 15 = 75
    It means 25 per cent of families do not have a cow or a buffalo.
    ∴ Required number of families

    = 25% of 96 = 96 ×
    25
    = 24
    100


  1. Tickets for all but 100 seats in a 10,000 seat stadium were sold. Of the tickets sold, 20% were sold at half price and the remaining tickets were sold at the full price of 20. The total revenue from the ticket sales, in was









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    Total revenue earned

    = ₹9900 ×
    20
    × 10 + 9900 ×
    80
    × 2
    100100

    = ₹(19800 + 158400)
    = ₹ 178200

    Correct Option: B

    Total revenue earned

    = ₹9900 ×
    20
    × 10 + 9900 ×
    80
    × 2
    100100

    = ₹(19800 + 158400)
    = ₹ 178200



  1. For every set of 19 kites sold, a vendor gives 1 kite extra, free of cost. In order to give a discount of 10%, the number of extra kites he should give in a sale of 27 kites to the nearest integer is









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    Kites of ₹ 20 are available for ₹ 19.
    Hence, discount = 5%

    i.e.
    1
    × 100
    20

    If one gets kites of 20 for 18, discount = 10%
    ∴ Required answer
    20 kites → 2 kites
    27 kites → =
    2
    × 27 ≈ 3
    20

    Correct Option: A

    Kites of ₹ 20 are available for ₹ 19.
    Hence, discount = 5%

    i.e.
    1
    × 100
    20

    If one gets kites of 20 for 18, discount = 10%
    ∴ Required answer
    20 kites → 2 kites
    27 kites → =
    2
    × 27 ≈ 3
    20