Profit and Loss


  1. By selling a table for $ 1140, a man loses 5%. in order to gain 5%, the table must be sold for









  1. View Hint View Answer Discuss in Forum

    Here , S.P. of table = $ 1140
    On 5% loss ,

    C.P. of table = 1400 ×
    100
    = $ 1200
    95

    S.P. at 5% gain =
    1200 × 105
    = $ 1260
    100

    Second method to solve this question :
    C.P. = S P
    100
    100 - Loss%

    C.P. = 1140
    100
    100 - 5

    C.P. =
    114000
    = $ 1200
    95

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

    Correct Option: A

    Here , S.P. of table = $ 1140
    On 5% loss ,

    C.P. of table = 1400 ×
    100
    = $ 1200
    95

    S.P. at 5% gain =
    1200 × 105
    = $ 1260
    100

    Second method to solve this question :
    C.P. = S P
    100
    100 - Loss%

    C.P. = 1140
    100
    100 - 5

    C.P. =
    114000
    = $ 1200
    95

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

    C.P. = 1200
    100 + 5
    100

    C.P. = 1200 ×
    105
    = $ 1260
    95


  1. A radio is sold for $ 990 at a profit of 10%. What would have been the actual profit or loss on it, had it been sold for Rs. 890?









  1. View Hint View Answer Discuss in Forum

    Here , Selling price of radio ( S.P. ) = $ 990 and profit = 10%

    C.P. of radio =
    100
    × S.P. of radio
    100 + profit%

    C.P. of radio =
    100
    × 990 = $ 900
    110

    Second SP = $ 890
    ∴ Loss = 900 – 890 = $ 10
    We can find required answer with the help of given formula :
    C.P. = S.P.
    100
    100 + Profit%


    Correct Option: A

    Here , Selling price of radio ( S.P. ) = $ 990 and profit = 10%

    C.P. of radio =
    100
    × S.P. of radio
    100 + profit%

    C.P. of radio =
    100
    × 990 = $ 900
    110

    Second SP = $ 890
    ∴ Loss = 900 – 890 = $ 10
    We can find required answer with the help of given formula :
    C.P. = S.P.
    100
    100 + Profit%

    C.P. = 900
    100
    100 + 10

    C.P. =
    99000
    = 900
    110

    Loss = C.P. – S.P. = 900 – 890 = $ 10



  1. By selling a plot of land for 45,000 a person loses 10%. At what price should he sell it to gain 15%?









  1. View Hint View Answer Discuss in Forum

    Given that , Selling price of plot of land = $ 45,000
    Loss = 10%

    C.P. =
    100
    × S.P.
    100 - Loss%

    C.P. =
    100
    × 45000 = $ 50000
    90

    Correct Option: C

    Given that , Selling price of plot of land = $ 45,000
    Loss = 10%

    C.P. =
    100
    × S.P.
    100 - Loss%

    C.P. =
    100
    × 45000 = $ 50000
    90

    ∴ S.P. = 115% of $ 50000 = $
    50000 × 115
    = $ 57,500
    100


  1. A loss of 20% is incurred when 6 articles are sold for a rupee. To gain 20% how many articles should be sold for a rupee?









  1. View Hint View Answer Discuss in Forum

    Let S.P. = 100% = 6
    On 20% loss ,

    C.P. = 80% =
    6
    × 80 =
    24
    1005

    To gain 20% ,
    Now, 120% =
    24
    5

    Correct Option: D

    Let S.P. = 100% = 6
    On 20% loss ,

    C.P. = 80% =
    6
    × 80 =
    24
    1005

    To gain 20% ,
    Now, 120% =
    24
    5

    100% =
    24 × 100
    = 4
    5 × 120



  1. By selling an article for $ 69, there is a loss of 8%, when the article is sold for $ 78, the gain or loss percent is :









  1. View Hint View Answer Discuss in Forum

    Given in question , SP of article = $ 69
    Loss % = 8%

    ∴ CP = $
    100 × 69
    = $ 75
    92

    New SP = $ 78
    Gain = New SP - CP = 78 - 75 = $ 3
    ∴ Gain % =
    Gain
    × 100
    CP

    Gain % =
    3
    × 100 = 4%
    75

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

    C.P. =
    69 × 100
    100 - 8

    =
    6900
    = Rs. 75
    92

    New S.P.= C.P100 + Profit%
    100

    78 = 75 ×100 + Profit%
    100

    Correct Option: B

    Given in question , SP of article = $ 69
    Loss % = 8%

    ∴ CP = $
    100 × 69
    = $ 75
    92

    New SP = $ 78
    Gain = New SP - CP = 78 - 75 = $ 3
    ∴ Gain % =
    Gain
    × 100
    CP

    Gain % =
    3
    × 100 = 4%
    75

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

    C.P. =
    69 × 100
    100 - 8

    =
    6900
    = Rs. 75
    92

    New S.P.= C.P100 + Profit%
    100

    78 = 75 ×100 + Profit%
    100

    7800 = 7500 + 75 Profit%
    ⇒ 7800 - 7500 = 75 Profit% ⇒ 75 Profit% = 300
    Profit% =
    300
    = 4%
    75