Profit and Loss


  1. The cost price of 15 articles is same as the selling price of 10 articles. The profit per cent is :









  1. View Hint View Answer Discuss in Forum

    Suppose the C.P. of each article is $ 1
    Then C.P. of 10 articles = $ 10
    S.P. of 10 articles = $ 15
    ∴ Profit = 15 - 10 = $ 5

    % profit =
    5 × 100
    = 50%
    10

    Second method to solve this question :
    Here, p = 15, q = 10
    Profit% =
    p - q
    × 100
    q

    Correct Option: C

    Suppose the C.P. of each article is $ 1
    Then C.P. of 10 articles = $ 10
    S.P. of 10 articles = $ 15
    ∴ Profit = 15 - 10 = $ 5

    % profit =
    5 × 100
    = 50%
    10

    Second method to solve this question :
    Here, p = 15, q = 10
    Profit% =
    p - q
    × 100
    q

    Profit% = 15 - 10 × 240 = 50%
    10


  1. The cost price of 36 books is equal to the selling price of 30 books. The gain percent is :









  1. View Hint View Answer Discuss in Forum

    Let cost price of each books = Rs. 1
    Then cost price of 30 books = Rs. 30
    Selling price of 30 books = Rs. 36
    Profit = Selling price of 30 books - Cost price of 30 books = 36 - 30 = Rs. 6

    ∴ Required profit =
    Profit
    × 100
    cost price

    Correct Option: A

    Let cost price of each books = Rs. 1
    Then cost price of 30 books = Rs. 30
    Selling price of 30 books = Rs. 36
    Profit = Selling price of 30 books - Cost price of 30 books = 36 - 30 = Rs. 6

    ∴ Required profit =
    Profit
    × 100
    cost price

    Required profit =
    6
    × 100 = 20%
    30



  1. The profit (in Rs.) after selling an article for Rs. 524 is the same as the loss (in Rs.) after selling it for Rs. 452. The cost price of the article is:









  1. View Hint View Answer Discuss in Forum

    Given that , First S.P. = Rs. 524 and Second S.P. = Rs. 452
    Let the C.P. of article be Rs. y.
    According to the question,
    524 – y = y – 452
    ⇒ 2y = 524 + 452 = 976

    Correct Option: C

    Given that , First S.P. = Rs. 524 and Second S.P. = Rs. 452
    Let the C.P. of article be Rs. y.
    According to the question,
    524 – y = y – 452
    ⇒ 2y = 524 + 452 = 976

    ⇒ y =
    976
    = Rs. 488
    2


  1. The percent profit made when an article is sold for Rs. 78 is twice as much as when it is sold for Rs. 69. The cost price of the article is









  1. View Hint View Answer Discuss in Forum

    Let the C.P. of article be Rs. y.
    Here , First S.P. = Rs. 78 and Second S.P. = Rs. 69
    According to the question,
    78 – y = 2 (69– y)
    ⇒ 78 – y = 138 – 2y

    Correct Option: A

    Let the C.P. of article be Rs. y.
    Here , First S.P. = Rs. 78 and Second S.P. = Rs. 69
    According to the question,
    78 – y = 2 (69– y)
    ⇒ 78 – y = 138 – 2y
    ⇒ 2y – y = 138 – 78
    ⇒ y = Rs. 60



  1. If the cost price of 10 articles is equal to the selling price of 7 articles, then the gain or loss percent is :









  1. View Hint View Answer Discuss in Forum

    Let C.P. of each article be $ 1
    Then, C.P. of 7 articles = $ 7
    S.P. of 7 articles = $ 10

    ∴ Gain % =
    10 - 7
    × 100 =
    300
    77

    Gain % = 42
    6
    %
    7

    Second method to solve this question :
    Here, p = 10, q = 7
    Profit % =p - q × 100
    q

    Correct Option: B

    Let C.P. of each article be $ 1
    Then, C.P. of 7 articles = $ 7
    S.P. of 7 articles = $ 10

    ∴ Gain % =
    10 - 7
    × 100 =
    300
    77

    Gain % = 42
    6
    %
    7

    Second method to solve this question :
    Here, p = 10, q = 7
    Profit % =p - q × 100
    q

    Profit % = 10 - 7 × 100
    7

    Profit % =
    300
    = 42
    6
    %
    77