Profit and Loss


  1. If a man were to sell his chair for $ 720, he would lose 25%. To gain 25% he should sell it for









  1. View Hint View Answer Discuss in Forum

    Given that , SP of chair = $ 720
    For 25% loss ,

    CP of chair =
    100
    × 720 = $ 960
    75

    To gain 25% , SP =
    125
    × 960 = $ 1200
    100

    We can find required answer with the help of given formula :
    C.P. = S.P.
    100
    100 - Loss%

    C.P. =
    720 × 100
    100 - 25

    C.P. =
    72000
    = Rs. 960
    75

    Correct Option: A

    Given that , SP of chair = $ 720
    For 25% loss ,

    CP of chair =
    100
    × 720 = $ 960
    75

    To gain 25% , SP =
    125
    × 960 = $ 1200
    100

    We can find required answer with the help of given formula :
    C.P. = S.P.
    100
    100 - Loss%

    C.P. =
    720 × 100
    100 - 25

    C.P. =
    72000
    = Rs. 960
    75

    New S.P. = C.P.
    100 + profit%
    100

    New S.P. =
    960 × 125
    = Rs. 1200
    100


  1. On selling an article for $ 170, a shopkeeper loses 15%. In order to gain 20%, he must sell that article at :









  1. View Hint View Answer Discuss in Forum

    Here , S.P. of article = $ 170
    For loss 15% ,

    C.P. of article =
    170 × 100
    = $ 200
    85

    ∴ Required S.P. =
    200 × 120
    = $ 240
    100

    We can find required answer with the help of given formula :
    C.P. = S P
    100
    100 - Loss%

    C.P. =
    170 × 100
    100 - 15

    C.P. =
    17000
    = Rs. 200
    85

    New S.P. = C.P
    100 + Profit%
    100

    Correct Option: C

    Here , S.P. of article = $ 170
    For loss 15% ,

    C.P. of article =
    170 × 100
    = $ 200
    85

    ∴ Required S.P. =
    200 × 120
    = $ 240
    100

    We can find required answer with the help of given formula :
    C.P. = S P
    100
    100 - Loss%

    C.P. =
    170 × 100
    100 - 15

    C.P. =
    17000
    = Rs. 200
    85

    New S.P. = C.P
    100 + Profit%
    100

    New S.P. = 200
    100 + 20
    100

    New S.P. =
    200 × 120
    = $ 240
    100



  1. A man sells a car to his friend at 10% loss. If the friend sells it for $ 54,000 and gains 20%, the original cost price of the car was









  1. View Hint View Answer Discuss in Forum

    If the initial C.P. of car be Rs. y, then

    ∴ First S.P. at 10% loss =
    9y
    10

    9y
    ×
    120
    = 54000
    10100

    Correct Option: D

    If the initial C.P. of car be Rs. y, then

    ∴ First S.P. at 10% loss =
    9y
    10

    9y
    ×
    120
    = 54000
    10100

    ⇒ y =
    54000 × 1000
    = $ 50000
    9 × 120


  1. By selling a fan for $ 600, a man loses 10%. To make a gain of 20%, the selling price of the fan should be









  1. View Hint View Answer Discuss in Forum

    Given in question , S.P. of fan = $ 600

    C.P. of fan = $
    600 × 100
    90

    ∴ Required S.P. =
    600 × 100
    ×
    120
    = $ 800
    90100

    We can find required answer with the help of given formula :
    C.P. = S P
    100
    100 - Loss%

    C.P. =
    600 × 100
    100 - 10

    C.P. =
    60000
    90

    C.P. =
    6000
    9

    New S.P. = C.P. ×
    100 + profit%
    100

    Correct Option: D

    Given in question , S.P. of fan = $ 600

    C.P. of fan = $
    600 × 100
    90

    ∴ Required S.P. =
    600 × 100
    ×
    120
    = $ 800
    90100

    We can find required answer with the help of given formula :
    C.P. = S P
    100
    100 - Loss%

    C.P. =
    600 × 100
    100 - 10

    C.P. =
    60000
    90

    C.P. =
    6000
    9

    New S.P. = C.P. ×
    100 + profit%
    100

    New S.P. = 6000100 + 20
    9100

    New S.P. =
    60 × 120
    = $ 800
    9



  1. A radio dealer sold a radio at a loss of 2.5%. Had he sold it for 100 more, he would have gained (15 / 2) % . In order to gain (25 / 2) % , he should sell it for









  1. View Hint View Answer Discuss in Forum

    If C.P. of radio be $ x, then 10% of x = 100
    ⇒ x = 1000

    For a gain of 12
    1
    % ,
    2


    S.P. =
    1000 × 225
    = $ 1125
    200

    We can find required answer with the help of given formula :
    Here, a = 2.5%,
    R = 100, b = 7
    1
    %
    2

    C.P. =
    R
    × 100
    b + a

    C.P. =
    100 × 100
    = Rs. 1000
    2.5 + 7.5

    Now New S.P. = C.P. ×
    100 + profit%
    100

    Correct Option: B

    If C.P. of radio be $ x, then 10% of x = 100
    ⇒ x = 1000

    For a gain of 12
    1
    % ,
    2


    S.P. =
    1000 × 225
    = $ 1125
    200

    We can find required answer with the help of given formula :
    Here, a = 2.5%,
    R = 100, b = 7
    1
    %
    2

    C.P. =
    R
    × 100
    b + a

    C.P. =
    100 × 100
    = Rs. 1000
    2.5 + 7.5

    Now New S.P. = C.P. ×
    100 + profit%
    100

    Now New S.P. = 1000
    100 + 12.5
    100

    New S.P. = 10 × 112.5 = $ 1125