Profit and Loss


  1. A dealer sold three-fourth of his articles at a gain of 24% and the remaining at the cost price. Percentage of gain in the whole transaction is ?









  1. View Hint View Answer Discuss in Forum

    Let CP = ₹ 100
    ∴ SP = [75 x (124/100)] + 25

    Correct Option: B

    Let CP = ₹ 100
    ∴ SP = [75 x (124/100)] + 25
    = 93 + 25 = ₹ 118
    Clearly, gain % = 18%


  1. The selling price of 20 articles is equal to the cost price of 22 articles. The gain percentage is









  1. View Hint View Answer Discuss in Forum

    Here, a = 22 and b = 20, then
    ∴ Gain% = [(a - b)/b] x 100%

    Correct Option: C

    Here, a = 22 and b = 20, then
    ∴ Gain% = [(a - b)/b] x 100%
    = [(22 - 20)/20] x 100% =10%



  1. If the cost price of 23 toys is equal to selling price of 20 toys. Then the gain or loss percentage is ?









  1. View Hint View Answer Discuss in Forum

    Here, a = 23, b = 20
    ∴ Required percentage profit = [(a - b)/b] x 100 %

    Correct Option: A

    Here, a = 23, b = 20
    ∴ Required percentage profit = [(a - b)/b] x 100 %
    = [(23 - 20)/20] x 100% = 15%


  1. The cost of price and selling price of an article are in the ratio of the 3 : 7. If the selling price is ₹ 700, then find the cost price









  1. View Hint View Answer Discuss in Forum

    Let CP = 3x and SP = 7x
    According to the question,
    7x = 700
    ∴ x = 100

    Correct Option: C

    Let CP = 3x and SP = 7x
    According to the question,
    7x = 700
    ∴ x = 100
    ∴ CP = 3x = ₹ = 300



  1. Some apples are bought at 5 for ₹ 10 and sold at 6 for ₹ 15. What is the gain percent ?











  1. View Hint View Answer Discuss in Forum

    Let number of apples bought = 5 x 6 = 30 [LCM of 5 and 6]
    CP = (10/5) x 30 = ₹ 60
    SP = (15/6) x 30 = ₹ 75

    Correct Option: D

    Let number of apples bought = 5 x 6 = 30 [LCM of 5 and 6]
    CP = (10/5) x 30 = ₹ 60
    SP = (15/6) x 30 = ₹ 75
    ∴ Gain = SP - CP = 75 - 60 = ₹ 15
    ∴ Gain % = (15/60) x 100 % = 25%