Profit and Loss


  1. A dishonest dealer professes to sell his goods at cost price but he uses a weight of 920 g for 1 kg weight. Find his gain per cent











  1. View Hint View Answer Discuss in Forum

    According to the formula,
    Gain% = [Error / (True value - Error)] x 100%
    = [80/(100 - 80)] x 100%

    Correct Option: B

    According to the formula,
    Gain% = [Error / (True value - Error)] x 100%
    = [80/(100 - 80)] x 100%
    = (80/920) x 100%
    = 816/23 %


  1. A man sells an article at a profit of 40%. If he had bought it at 40% less and sold for ₹ 5 less, he would have gained 50% . Find the cost price of the article .











  1. View Hint View Answer Discuss in Forum

    Let CP = ₹ 100, then SP = 140
    New CP = ₹ 60 and new SP = (60 x 150)/100 ₹ 90

    According to the question,
    ₹(140 - 90) = ₹ 50 is equivalent to ₹ 5.

    Correct Option: A

    Let CP = ₹ 100, then SP = 140
    New CP = ₹ 60 and new SP = (60 x 150)/100 ₹ 90

    According to the question,
    ₹(140 - 90) = ₹ 50 is equivalent to ₹ 5.
    ∴ ₹ 100 is equivalent to ₹ 10.
    ∴ CP = ₹ 10



  1. Neeta got profit of 10% on selling an article in ₹ 220. To get the profit of 30%, she should sell the article in how many rupees ?









  1. View Hint View Answer Discuss in Forum

    Let cost price of an article = (220 x 100)/110 = ₹ 200
    For getting the profit of 30%, Selling price of an article = 130% of ₹ 200

    Correct Option: C

    Let cost price of an article = (220 x 100)/110 = ₹ 200
    For getting the profit of 30%, Selling price of an article = 130% of ₹ 200
    = (130/100) x 200 = ₹ 260


  1. The profit earned after selling a pair of shoes for ₹ 2033 is the same as the loss incurred after selling the same pair of shoes for ₹ 1063. What is the cost price of the shoes ?











  1. View Hint View Answer Discuss in Forum

    Let the cost price of the shoes = ₹ x
    According to the question,
    2033 - x = x - 1063

    Correct Option: B

    Let the cost price of the shoes = ₹ x
    According to the question,
    2033 - x = x - 1063
    ⇒ 2x = 2033 + 1063 = 3096
    ∴ x = 3096/2 = ₹ 1548



  1. An article is sold for ₹ 300 at a profit of 20%. Had it been sold for ₹ 235, the loss percentage would have been ?









  1. View Hint View Answer Discuss in Forum

    Let the cost price of article = ₹ N
    Then, 120% of N = 300
    ⇒ (120 x N)/100 = 300
    ∴ N = (300 x 100)/120 = ₹ 250
    Now, SP = ₹ 235

    Correct Option: C

    Let the cost price of article = ₹ N
    Then, 120% of N = 300
    ⇒ (120 x N)/100 = 300
    ∴ N = (300 x 100)/120 = ₹ 250
    Now, SP = ₹ 235
    Then, loss percentage = [(250 - 235)/250 ] x 100 = 6%