Profit and Loss


  1. By selling 1 dozen ball pens, a shopkeeper earned the profit equal to the selling price of 4 ball pens. His profit percent is









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    According to question ,
    SP of 12 ball pens = CP of 12 ball pens + SP of 4 ball pens.
    ⇒ SP of 8 ball pens = CP of 12 ball pens

    ∴ Gain percent =
    4
    × 100 = 50%
    8

    We can find required answer with the help of given formula :
    Here, p = 12, q = 4
    Profit% =
    q × 100
    p - q

    Correct Option: A

    According to question ,
    SP of 12 ball pens = CP of 12 ball pens + SP of 4 ball pens.
    ⇒ SP of 8 ball pens = CP of 12 ball pens

    ∴ Gain percent =
    4
    × 100 = 50%
    8

    We can find required answer with the help of given formula :
    Here, p = 12, q = 4
    Profit% =
    q × 100
    p - q

    Profit% =
    4 × 100
    = 50%
    12 - 4


  1. If the profit percent got on selling an article is numerically equal to its cost price in rupees and the selling price is $ 39, then cost price (in $) will be









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    Let the CP of the article be y
    Gain % = y%

    39 - y
    × 100 = y
    y

    ⇒ 3900 – 100y = y2
    ⇒ y2 + 100y – 3900 = 0
    ⇒ y2 + 130y – 30y – 3900 = 0

    Correct Option: D

    Let the CP of the article be y
    Gain % = y%

    39 - y
    × 100 = y
    y

    ⇒ 3900 – 100y = y2
    ⇒ y2 + 100y – 3900 = 0
    ⇒ y2 + 130y – 30y – 3900 = 0
    ⇒ y(y + 130) – 30 (y + 130) = 0
    ⇒ (y – 30) (y + 130) = 0
    ⇒ y = 30 as y cannot be negative



  1. By selling 144 hens Mahesh suffered a loss equal to the selling price of 6 hens. His loss per cent is









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    From the question ,
    CP of 144 hens – SP of 144 hens = Loss = SP of 6 hens
    ∴ SP of 150 hens = CP of 144 hens
    Let CP of each hen = $ 1
    ∴ CP of 150 hens = $ 150
    SP of 150 hens = $ 144

    ∴ Loss% =
    6
    × 100 = 4%
    150

    We can find required answer with the help of given formula :
    Here, p = 144, q = 6
    Loss% =
    q × 100
    p + q

    Correct Option: A

    From the question ,
    CP of 144 hens – SP of 144 hens = Loss = SP of 6 hens
    ∴ SP of 150 hens = CP of 144 hens
    Let CP of each hen = $ 1
    ∴ CP of 150 hens = $ 150
    SP of 150 hens = $ 144

    ∴ Loss% =
    6
    × 100 = 4%
    150

    We can find required answer with the help of given formula :
    Here, p = 144, q = 6
    Loss% =
    q × 100
    p + q

    Loss% =
    600
    144 + 6

    Loss% =
    600
    = 4%
    150


  1. A clock was sold for $ 144. If the percentage of profit was numerically equal to the cost price, the cost of the clock was









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    Given that , Selling price of the clock = $ 144
    Let the cost price be y.
    According to question ,
    ∴ (100 + y)% of y = 144
    ⇒ (100 + y)y = 14400
    ⇒ y2 + 100y – 14400 = 0
    ⇒ y2 + 180y – 80y – 14400 = 0
    ⇒ y(y + 180) – 80 (y + 180) = 0

    Correct Option: B

    Given that , Selling price of the clock = $ 144
    Let the cost price be y.
    According to question ,
    ∴ (100 + y)% of y = 144
    ⇒ (100 + y)y = 14400
    ⇒ y2 + 100y – 14400 = 0
    ⇒ y2 + 180y – 80y – 14400 = 0
    ⇒ y(y + 180) – 80 (y + 180) = 0
    ⇒ (y + 180) (y – 80) = 0
    ⇒ y = 80 [y ≠ –180]
    Hence , required answer is $ 80.



  1. Profit after selling a commodity for $ 524 is the same as loss after selling it for $ 452. The cost price of the commodity is









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    Let the cost price of the commodity = $ y
    According to the question ,
    524 – y = y – 452
    ⇒ 2y = 524 + 452
    ⇒ 2y = 976

    ⇒ y =
    976
    2

    Correct Option: C

    Let the cost price of the commodity = $ y
    According to the question ,
    ⇒ 524 – y = y – 452
    ⇒ 2y = 524 + 452
    ⇒ 2y = 976

    ⇒ y =
    976
    = 488
    2

    The required price = $ 488