Profit and Loss


  1. An article is sold at a profit of 25%. If the selling price is doubled, the profit will be :









  1. View Hint View Answer Discuss in Forum

    Let C.P. of article = Rs. 100
    ∴ S.P. = Rs. 125
    New S.P. = Rs. 250
    Profit = New S.P. - C.P. of article = 250 - 100 = Rs. 150

    ∴ Profit percent =
    Profit
    × 100
    C.P. of article

    Correct Option: D

    Let C.P. of article = Rs. 100
    ∴ S.P. = Rs. 125
    New S.P. = Rs. 250
    Profit = New S.P. - C.P. of article = 250 - 100 = Rs. 150

    ∴ Profit percent =
    Profit
    × 100
    C.P. of article

    Profit percent =
    150
    × 100 = 150%
    100


  1. A shopkeeper buys two cameras at the same price. He sells one camera at a profit of 18% and the other at a price 10% less than the selling price of the first. His total profit or loss percent is









  1. View Hint View Answer Discuss in Forum

    Let C.P. of each camera = Rs. y
    For profit of 18% ,

    S.P. of first camera = Rs.
    118y
    100

    On 10% less ,
    S.P. of second camera =
    118y
    ×
    90

    100100

    = Rs.
    1062y
    1000

    Correct Option: C

    Let C.P. of each camera = Rs. y
    For profit of 18% ,

    S.P. of first camera = Rs.
    118y
    100

    On 10% less ,
    S.P. of second camera =
    118y
    ×
    90

    100100

    = Rs.
    1062y
    1000

    Profit =
    118y
    +
    1062y
    - 2y
    1001000

    Profit =
    1180y + 1062y - 2000y
    1000

    Profit = Rs.
    242y
    1000

    ∴ Gain percent =
    242y
    × 100 = 12.2%
    1000 × 2y



  1. A shopkeeper sold his goods at half the list price and thus lost 20%. If he had sold on the listed price, his gain percentage would be









  1. View Hint View Answer Discuss in Forum

    Let Marked price of article = Rs. y and Cost price of article ( C.P. ) = Rs. 100
    According to the question ,

    y
    = 80 ⇒ y = Rs. 160
    2

    Correct Option: A

    Let Marked price of article = Rs. y and Cost price of article ( C.P. ) = Rs. 100
    According to the question ,

    y
    = 80 ⇒ y = Rs. 160
    2

    Gain on selling at the marked price = 160 - 100 = 60%


  1. By selling 20 metres of cloth a man gains the selling price of 4 metres of cloth. The gain percent is









  1. View Hint View Answer Discuss in Forum

    From question , S.P. of 20 metres of cloth = C.P of 20 metres of cloth + S.P of 4 metres of cloth
    ⇒ S.P of (20 – 4 = 16 ) metres of cloth = C.P of 20 metres of cloth
    Let C.P of 1 metre of cloth = $ 1
    ∴ C.P of 16 metres of cloth = $ 16
    S.P of 16 metres of cloth = $ 20
    Gain = S.P of 16 metres of cloth - C.P of 16 metres of cloth = 20 - 16 = $ 4

    ∴ Gain % =
    Gain
    × 100
    C.P of 16 metres of cloth

    Gain % =
    100
    = 25%
    4

    We can find gain % with the help of given formula :
    Here, p = 20, q = 4,
    Gain % =
    y × 100
    p - q

    Correct Option: A

    From question , S.P. of 20 metres of cloth = C.P of 20 metres of cloth + S.P of 4 metres of cloth
    ⇒ S.P of (20 – 4 = 16 ) metres of cloth = C.P of 20 metres of cloth
    Let C.P of 1 metre of cloth = $ 1
    ∴ C.P of 16 metres of cloth = $ 16
    S.P of 16 metres of cloth = $ 20
    Gain = S.P of 16 metres of cloth - C.P of 16 metres of cloth = 20 - 16 = $ 4

    ∴ Gain % =
    Gain
    × 100
    C.P of 16 metres of cloth

    Gain % =
    100
    = 25%
    4

    We can find gain % with the help of given formula :
    Here, p = 20, q = 4,
    Gain % =
    y × 100
    p - q

    Gain % =
    4 × 100
    20 - 4

    Gain % =
    4
    × 100 = 25%
    16



  1. Ten articles were bought for Rs. 8, and sold at 8 for Rs. 10. The gain percent is









  1. View Hint View Answer Discuss in Forum

    Let 40 articles (LCM of 8 and 10) be bought.
    C.P of 1 article = Rs. 8

    ∴ C.P of 40 articles =
    8 × 40
    = Rs. 32
    10

    S.P of 1 article = Rs. 10
    S.P. of 40 articles =
    10 × 40
    = Rs. 50
    8

    Profit = S.P. of 40 articles - C.P. of 40 articles = 50 - 32 = Rs. 18
    ∴ Profit percent =
    Profit
    × 100
    C.P. of 40 articles

    Profit percent
    =
    1800
    = 56.25%
    32

    We can find gain % with the help of given formula :
    Here, a = 10, p = 8 and b = 8, q = 10
    Gain % =
    aq - bp
    × 100
    bp

    Correct Option: C

    Let 40 articles (LCM of 8 and 10) be bought.
    C.P of 1 article = Rs. 8

    ∴ C.P of 40 articles =
    8 × 40
    = Rs. 32
    10

    S.P of 1 article = Rs. 10
    S.P. of 40 articles =
    10 × 40
    = Rs. 50
    8

    Profit = S.P. of 40 articles - C.P. of 40 articles = 50 - 32 = Rs. 18
    ∴ Profit percent =
    Profit
    × 100
    C.P. of 40 articles

    Profit percent
    =
    1800
    = 56.25%
    32

    We can find gain % with the help of given formula :
    Here, a = 10, p = 8 and b = 8, q = 10
    Gain % =
    aq - bp
    × 100
    bp

    Gain % =
    10 × 10 - 8 × 8
    × 100
    8 × 8

    Gain % =
    36
    × 100
    64

    Gain % =
    1800
    = 56.25%
    32