Profit and Loss


  1. Some toffees were bought at the rate of 11 for $ 10 and the same number at the rate of 9 for $ 10. If the whole lot was sold at one rupee per toffee, then the gain or loss in the whole transaction was









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    For the sake of convenience, Let the number of toffees of each type bought be 99 (LCM of 11 and 9 = 99 ).
    CP of first kind of 99 toffees = $ 90
    CP of second kind of 99 toffees = $ 110
    ∴ CP of 198 toffees = $ 200
    ∴ SP of 198 toffees = $ 198
    Loss = 200 - 198 = $ 2

    Correct Option: A

    For the sake of convenience, Let the number of toffees of each type bought be 99 (LCM of 11 and 9 = 99 ).
    CP of first kind of 99 toffees = $ 90
    CP of second kind of 99 toffees = $ 110
    ∴ CP of 198 toffees = $ 200
    ∴ SP of 198 toffees = $ 198
    Loss = 200 - 198 = $ 2

    Loss % =
    2
    × 100 = 1%
    200


  1. A shopkeeper purchased a TV for $ 2,000 and a radio for $ 750. He sells the TV at a profit of 20% and the radio at a loss of 5%. The total loss or gain is









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    Given , C.P. of TV = $ 2000

    ∴ S.P. of TV = 2000 ×
    120
    = $ 2400
    100

    C.P. of radio = $ 750
    ∴ S.P. of radio =
    750 × 95
    = $ 712.5
    100

    Correct Option: B

    Given , C.P. of TV = $ 2000

    ∴ S.P. of TV = 2000 ×
    120
    = $ 2400
    100

    C.P. of radio = $ 750
    ∴ S.P. of radio =
    750 × 95
    = $ 712.5
    100

    Total S.P. = 2400 + 712.5 = $ 3112.50
    Total C.P. = 2000 + 750 = $ 2750
    ∴ Gain = Total S.P. - Total C.P. = 3112.5 – 2750 = $ 362.50



  1. A man purchases two fans for $ 2,160. By selling one fan at a profit of 15% and the other at a loss of 9% he neither gains nor loses in the whole transaction. Find the cost price of each fan in $.









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    Let the C.P. of fans be $ p and $ q respectively.
    As per the given in question,

    p × 15
    =
    q × 9
    100100

    p
    =
    9
    =
    3

    q155

    Sum of ratios = 3 + 5 = 8
    C.P. of first fan =
    3
    × 2160 = $ 810
    8

    Correct Option: C

    Let the C.P. of fans be $ p and $ q respectively.
    As per the given in question,

    p × 15
    =
    q × 9
    100100

    p
    =
    9
    =
    3

    q155

    Sum of ratios = 3 + 5 = 8
    C.P. of first fan =
    3
    × 2160 = $ 810
    8

    & C.P. of second fan =
    5
    × 2160 = $ 1350
    8


  1. A man sells two chairs at $ 120 each and by doing so gains 25% on one chair and loses 25% on the other. His loss on the whole in $ is









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    Given in question , SP of each chair = $ 120
    On 25% gain ,

    C.P. of first chair =
    100
    × 120 = $ 96
    125

    On 25% loss ,
    C.P. of second chair =
    100
    × 120 = $ 160
    75

    Correct Option: B

    Given in question , SP of each chair = $ 120
    On 25% gain ,

    C.P. of first chair =
    100
    × 120 = $ 96
    125

    On 25% loss ,
    C.P. of second chair =
    100
    × 120 = $ 160
    75

    Total CP of chairs = 160 + 96 = $ 256
    ∴ Loss = Total CP - Total SP = 256 – 240 = $ 16



  1. A cloth merchant sold half of his cloth at 40% profit, half of remaining at 40% loss and the rest was sold at the cost price. In the total transaction, his gain or loss will be









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    Let the merchant bought 100 metres of cloth for $ 100.

    ∴ Total S.P. = $50 × 140 + 25 × 60 + 25
    1006

    Correct Option: C

    Let the merchant bought 100 metres of cloth for $ 100.

    ∴ Total S.P. = $50 × 140 + 25 × 60 + 25
    1006

    Total S.P. = $ (70 + 15 + 25) = $ 110
    Gain = Total S.P. - Total C.P. = 110 - 100 = $ 10
    ∴ Gain percent =
    10
    × 100 = 10%
    100