Profit and Loss


  1. A man gets $ 13 more by selling an article at a profit of (25 / 2) % and than selling it at a loss of (25 / 2) %. The cost price of the article is :









  1. View Hint View Answer Discuss in Forum

    Let the C.P. of article be x.
    According to the question,

    of x = 13


    Correct Option: C

    Let the C.P. of article be x.
    According to the question,

    of x = 13


    x
    × 25 = 13
    100

    ∴ x = 13 × 4 = $ 52


  1. A dealer makes a profit of 20% even after giving a 10% discount on the advertised price of a scooter. If he makes a profit of $ 7500 on the sale of the scooter, the advertised price was









  1. View Hint View Answer Discuss in Forum

    Let the advertised price be $ 100.
    ∴ S.P. = $ 90, Profit = 20%.

    ∴ C.P. = $90 × 100= $ 75
    120

    Profit = $ (90–75) = $ 15
    Since for a profit of $ 15, the advertised price = $ 100

    Correct Option: C

    Let the advertised price be $ 100.
    ∴ S.P. = $ 90, Profit = 20%.

    ∴ C.P. = $90 × 100= $ 75
    120

    Profit = $ (90–75) = $ 15
    Since for a profit of $ 15, the advertised price = $ 100
    ∴ For a profit of 7500, the advertised price = $
    100 × 7500
    = $ 50000
    15



  1. A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be :









  1. View Hint View Answer Discuss in Forum

    Let the CP be $ 100.
    ∴ SP = $ 120
    New SP = $ 240
    Profit = New SP - CP
    Profit = $ (240 – 100) = $ 140

    ∴ Profit % =
    Profit
    × 100 %
    CP

    Correct Option: B

    Let the CP be $ 100.
    ∴ SP = $ 120
    New SP = $ 240
    Profit = New SP - CP
    Profit = $ (240 – 100) = $ 140

    ∴ Profit % =
    Profit
    × 100 %
    CP

    Profit % =
    140
    × 100 = 140%
    100


  1. An article is sold at a profit of 20%. If it had been sold at a profit of 25%, it would have fetched $ 35 more. The cost price of the article is :









  1. View Hint View Answer Discuss in Forum

    Let the cost price be y.
    From the question ,
    ∴ ( 100 + 25 )% of y – ( 100 + 20 )% of y = 35
    ⇒ 125% of y – 120% of y = 35
    ⇒ 5% of y = 35

    Correct Option: B

    Let the cost price be y.
    From the question ,
    ∴ ( 100 + 25 )% of y – ( 100 + 20 )% of y = 35
    ⇒ 125% of y – 120% of y = 35
    ⇒ 5% of y = 35

    ∴ y = $
    35 × 100
    = $ 700
    5

    Hence , The cost price of the article is $ 700 .



  1. A person sells an article for $ 75 and gains as much percent as the cost price of the article in rupees. The cost price of the article is









  1. View Hint View Answer Discuss in Forum

    Let the cost price be y
    ∴ Gain % = y%
    ∴ S.P. = C.P. + y% of C.P

    ⇒ 75 = y +
    y2
    100

    ⇒ y 2 + 100y – 7500 = 0
    ⇒ y2 + 150y – 50y – 7500 = 0

    Correct Option: C

    Let the cost price be y
    ∴ Gain % = y%
    ∴ S.P. = C.P. + y% of C.P

    ⇒ 75 = y +
    y2
    100

    ⇒ y 2 + 100y – 7500 = 0
    ⇒ y2 + 150y – 50y – 7500 = 0
    ⇒ y (y + 150) – 50 (y + 150) = 0
    ⇒ (y + 150) (y – 50) = 0
    ⇒ y = $ 50 [as y cannot be negative]
    Therefore , The cost price of the article is $ 50 .