Profit and Loss


  1. An article was sold at a profit of 12%. If the cost price would be 10% less and selling price would be $ 5.75 more, there would be profit of 30%. Then at what price it should be sold to make a profit of 20 %?









  1. View Hint View Answer Discuss in Forum

    C.P. of article = $ y

    ∴ S.P. =
    112y
    100

    New C.P. =
    9y
    10

    S.P. =
    9y
    ×
    130
    =
    117y
    10100100

    117y
    -
    112y
    = 5.75
    100100

    Correct Option: C

    C.P. of article = $ y

    ∴ S.P. =
    112y
    100

    New C.P. =
    9y
    10

    S.P. =
    9y
    ×
    130
    =
    117y
    10100100

    117y
    -
    112y
    = 5.75
    100100

    5y
    = 5.75
    100

    ⇒ y =
    5.75 × 100
    = $ 115
    5

    ∴ Required S.P. =
    115 × 120
    = $ 138
    100


  1. If a man were to sell his wristwatch for $ 720, he would lose 25%. What price must he sell at for to gain 25 %?









  1. View Hint View Answer Discuss in Forum

    Given that , S.P. of wrist watch = $ 720
    For 25% loss ,

    ∴ C.P. of wrist watch =
    S.P. of wrist watch × 100
    100 - Loss %

    C.P. of wrist watch =
    720 × 100
    = $ 960
    75

    On 25% gain ,

    Correct Option: D

    Given that , S.P. of wrist watch = $ 720
    For 25% loss ,

    ∴ C.P. of wrist watch =
    S.P. of wrist watch × 100
    100 - Loss %

    C.P. of wrist watch =
    720 × 100
    = $ 960
    75

    On 25% gain ,
    ∴ Required S.P. =
    960 × 125
    = $ 1200
    100



  1. By selling an article for $ 700 a man lost 30%. At what price should he have sold it to gain 30 %?









  1. View Hint View Answer Discuss in Forum

    As per the given in question ,
    S.P. of article = $ 700
    On 30% loss ,

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

    C.P. of article =
    100
    × 700 = $ 1000
    100 - 30

    Correct Option: D

    As per the given in question ,
    S.P. of article = $ 700
    On 30% loss ,

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

    C.P. of article =
    100
    × 700 = $ 1000
    100 - 30

    S.P. for a profit of 30% = 1000 ×
    130
    = $ 1300
    100


  1. By selling an article for $ 665, there is a loss of 5%. In order to make a profit of 12%, the selling price of the article must be









  1. View Hint View Answer Discuss in Forum

    Given that , SP of the article = $ 665
    On 5% loss ,

    CP of the article =
    100
    × S.P.
    100 - Loss%

    CP of the article
    = $
    100
    × 665 = $ 700
    95

    For the gain of 12%

    Correct Option: D

    Given that , SP of the article = $ 665
    On 5% loss ,

    CP of the article =
    100
    × S.P.
    100 - Loss%

    CP of the article
    = $
    100
    × 665 = $ 700
    95

    For the gain of 12%
    SP of the article = 112% of 700
    SP of the article =
    700 × 112
    = $ 784
    100



  1. A man bought 20 dozen eggs for $ 720. What should be the selling price of each egg if he wants to make a profit of 20 %?









  1. View Hint View Answer Discuss in Forum

    Given in question , CP of 20 dozen eggs = $ 720

    CP of 1 egg =
    720
    = $ 3
    20 × 12

    at 20 % profit ,
    ∴ Required SP of 1 egg = CP ×
    100 + Profit %
    100

    Correct Option: D

    Given in question , CP of 20 dozen eggs = $ 720

    CP of 1 egg =
    720
    = $ 3
    20 × 12

    at 20 % profit ,
    ∴ Required SP of 1 egg = CP ×
    100 + Profit %
    100

    Required SP of 1 egg = 3 ×
    120
    = $ 3.60
    100