Profit and Loss


  1. The selling price of an article is (8 / 5) th of its cost price. Then the gain percentage is









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    C.P. of article = Rs. y

    ∴ Its S.P. = Rs.
    8y
    5

    Profit =
    8y
    - y =
    8y - 5y
    55

    Profit = Rs.
    3y
    5

    Correct Option: C

    C.P. of article = Rs. y

    ∴ Its S.P. = Rs.
    8y
    5

    Profit =
    8y
    - y =
    8y - 5y
    55

    Profit = Rs.
    3y
    5

    ∴ Profit percent =
    (3y / 5)
    × 100
    y

    Profit percent =
    3
    × 100 = 60%
    5


  1. Mr. Y purchased a flat for $ 9,25, 000 and spent $ 35, 000 for its renovation. If he sold the flat for $ 10, 80, 000 then his profit per cent is









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    From the question ,
    Actual cost price of flat = $ (925000 + 35000) = $ 960000
    S.P. of flat = $ 1080000
    Profit = (1080000 – 960000) = $ 120000

    Profit percent =
    Profit
    × 100
    Actual cost price of flat

    Correct Option: D

    From the question ,
    Actual cost price of flat = $ (925000 + 35000) = $ 960000
    S.P. of flat = $ 1080000
    Profit = (1080000 – 960000) = $ 120000

    Profit percent =
    Profit
    × 100
    Actual cost price of flat

    Profit percent =
    120000
    × 100 = 12.5%
    960000



  1. Sourav purchased 30 kg of rice at the rate of $ 10 per kg and 35 kg at the rate of $ 11 per kg. He mixed the two. At what price per kg (in $) should he sell the mixture to make a 30% profit in the transaction?









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    As per the given in question ,
    Total cost of rice = $ (30 × 10 + 35 × 11)
    Total cost of rice = $ (300 + 385) = $ 685
    On 30% profit ,

    Required S.P. = Rs
    685 × 130
    100

    Correct Option: C

    As per the given in question ,
    Total cost of rice = $ (30 × 10 + 35 × 11)
    Total cost of rice = $ (300 + 385) = $ 685
    On 30% profit ,

    Required S.P. = Rs
    685 × 130
    100

    Rate per kg =
    685 × 130
    = $ 13.7
    65 × 100


  1. By selling 90 ball pens for $ 160 a person loses 20%. The number of ball pens, which should be sold for $ 96 so as to have a profit of 20% is









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    Given that , S.P. of 90 ball pens = $ 160
    On 20% lose ,

    C.P. of 90 ball pens =
    100
    × S.P.
    100 - Loss%

    C.P. of 90 ball pens =
    100
    × 160 = $ 200
    80

    S.P. for a gain of 20% =
    200 × 120
    = $ 240
    100

    Correct Option: A

    Given that , S.P. of 90 ball pens = $ 160
    On 20% lose ,

    C.P. of 90 ball pens =
    100
    × S.P.
    100 - Loss%

    C.P. of 90 ball pens =
    100
    × 160 = $ 200
    80

    S.P. for a gain of 20% =
    200 × 120
    = $ 240
    100

    ∵ $ 240 = 90 ball pens
    ∴ $ 96 =
    90
    × 96 = 36
    240



  1. By selling 80 ball pens for $ 140 a retailer loses 30%. How many ball pens should he sell for $ 104 so as to make a profit of 30%?









  1. View Hint View Answer Discuss in Forum

    Here , S.P. of 80 ball pens = $ 140
    On 30% loss ,

    ∴ C.P. of 80 ball pens = S.P. ×
    100
    100 - Loss%

    C.P. of 80 ball pens = 140 ×
    100
    = $ 200
    70

    For a gain of 30% ,

    Correct Option: A

    Here , S.P. of 80 ball pens = $ 140
    On 30% loss ,

    ∴ C.P. of 80 ball pens = S.P. ×
    100
    100 - Loss%

    C.P. of 80 ball pens = 140 ×
    100
    = $ 200
    70

    For a gain of 30% ,
    S.P. =
    120 × 130
    = $ 260
    100

    ∴ $ 260 = 80 ball pens
    ∴ $ 104 =
    80
    × 104 = 32
    260