Profit and Loss

Profit and Loss

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Aptitude miscellaneous
  1. On selling 17 balls at $ 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is :








  1. View Hint View Answer Discuss in Forum

    Let the CP of each ball = y.
    Then, clearly the cost price of (17 – 5) balls = $ 720
    i.e., 12y = 720

    ⇒ y =
    720
    		 = $ 60
    12

    Correct Option: C

    Let the CP of each ball = y.
    Then, clearly the cost price of (17 – 5) balls = $ 720
    i.e., 12y = 720

    ⇒ y =
    720
    		 = $ 60
    12

    Hence , the CP of each ball is $ 60 .

  1. Oranges are bought at rate of 7 for $ 3. At what rate per hundred must they be sold to gain 33%?








  1. View Hint View Answer Discuss in Forum

    Given in question , Cost price of 7 oranges = $ 3

    Cost price of 1 orange = $
    3
    7

    ∴ Cost price of 100 oranges =
    3
    		× 100 =
    300
    77

    ∵ 100% =
    300
    7


    Correct Option: D

    Given in question , Cost price of 7 oranges = $ 3

    Cost price of 1 orange = $
    3
    7

    ∴ Cost price of 100 oranges =
    3
    		× 100 =
    300
    77

    ∵ 100% =
    300
    7

    For gain 33% ,
    ∴ 133% =
    300
    		×
    133
    		 = $ 57
    7100

  1. A man buys 12 articles for $ 12 and sells them at the rate of $ 1.25 per article. His gain percentage is :








  1. View Hint View Answer Discuss in Forum

    Here , C.P. of 12 articles = 12
    S.P. of 12 articles = 12 × 1.25 = 15
    Total Profit = S.P. of 12 articles - C.P. of 12 articles = 15 – 12 = $ 3

    Gain % =
    Total Profit
    		 × 100
    C.P. of 12 articles

    Correct Option: B

    Here , C.P. of 12 articles = 12
    S.P. of 12 articles = 12 × 1.25 = 15
    Total Profit = S.P. of 12 articles - C.P. of 12 articles = 15 – 12 = $ 3

    Gain % =
    Total Profit
    		 × 100
    C.P. of 12 articles

    Gain % =
    3
    		 × 100 = 25%
    12

  1. 12 copies of a book were sold for 1800 thereby gaining cost- price of 3 copies. The cost price of a copy is :








  1. View Hint View Answer Discuss in Forum

    Let the cost price of 1 book be y.
    ∴ Cost price of 3 books = 3y
    and, cost price of 12 books = 12y
    Selling price of 12 books = 1800
    ⇒ 12y + 3y = 15y
    ⇒ 15y = 1800

    ∴ y =
    1800
    		 = 120
    15

    Correct Option: A

    Let the cost price of 1 book be y.
    ∴ Cost price of 3 books = 3y
    and, cost price of 12 books = 12y
    Selling price of 12 books = 1800
    ⇒ 12y + 3y = 15y
    ⇒ 15y = 1800

    ∴ y =
    1800
    		 = 120
    15

    Hence , The cost price of each book = $ 120

  1. If I would have purchased 11 articles for $ 10 and sold all the articles at the rate of 10 for $ 11, the profit percent would have been :








  1. View Hint View Answer Discuss in Forum

    Here , C.P. of 11 articles = $ 10

    ∴ C.P. of an article = $
    10
    11

    S.P. of 10 articles = $ 11
    ∴ S.P. of an article = $
    11
    10

    ∴ Profit =
    11
    		-
    10

    1011

    Profit =
    121 - 100
    		 = $
    21

    110110


    Profit % =
    2100
    		 ×
    11
    		 = 21%
    11010

    Second method to solve this question :
    Here, a = 11, p = 10 and b = 10, q = 11
    Gain % = aq - bp × 100%
    bp

    Correct Option: C

    Here , C.P. of 11 articles = $ 10

    ∴ C.P. of an article = $
    10
    11

    S.P. of 10 articles = $ 11
    ∴ S.P. of an article = $
    11
    10

    ∴ Profit =
    11
    		-
    10

    1011

    Profit =
    121 - 100
    		 = $
    21

    110110


    Profit % =
    2100
    		 ×
    11
    		 = 21%
    11010

    Second method to solve this question :
    Here, a = 11, p = 10 and b = 10, q = 11
    Gain % = aq - bp × 100%
    bp

    Gain % = 11 × 11 - 10 × 10 × 100%
    10 × 10

    Gain % = 121 - 100 × 100% = 21%
    100