Profit and Loss


  1. A producer of a tea blends two varieties of tea from tea gardens one costing ₹ 18 per kg and another ₹ 20 kg in the ratio 5 : 3. If he sells the blended variety at ₹ 21 per kg, then his gain percentage is









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    Let quantities of two types of tea costing ₹ 18 per kg and ₹ 20 per kg be 5W kg and 3W kg. respectively.

    Then, CP of tea = (18 x 5W) + (20 x 3W)
    = 90W + 60W = 150W
    SP of tea = 21 x 8W = 168W

    Correct Option: D

    Let quantities of two types of tea costing ₹ 18 per kg and ₹ 20 per kg be 5W kg and 3W kg. respectively.

    Then, CP of tea = (18 x 5W) + (20 x 3W)
    = 90W + 60W = 150W
    SP of tea = 21 x 8W = 168W

    Profit percent = [(168W - 150W) / 150W] x 100%
    = (18/150) x 100% = 12%


  1. Pens are bought at 5 for ₹ 4 and sold at 4 for ₹ 5. Find the gain per cent.









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    Let the number of pens bought = 5 x 4 = 20
    Then, CP = (4/5) x 20 = ₹ 16
    and SP = (5/4) x 20 = ₹ 25

    Correct Option: C

    Let the number of pens bought = 5 x 4 = 20
    Then, CP = (4/5) x 20 = ₹ 16
    and SP = (5/4) x 20 = ₹ 25
    ∴ Gain = 25 - 16 = ₹ 9
    Gain % = (9/16) x 100% = 56.25%



  1. A person purchased 11 articles for ₹ 10 and sells at 10 articles for ₹ 11. Find the gain percentage.









  1. View Hint View Answer Discuss in Forum

    Cost price of 11 Articles = 10
    Cost price of 1 Article = 10/11
    and SP of 10 Articles = 11
    ∴ SP of 1 Article = 11/10
    Now, gain = (11/10) - (10//11)
    = (121 - 100)/110 = 21/110
    And gain% = [(21/110) / (10/11)] x 100

    Correct Option: D

    Cost price of 11 Articles = 10
    Cost price of 1 Article = 10/11
    and SP of 10 Articles = 11
    ∴ SP of 1 Article = 11/10
    Now, gain = (11/10) - (10//11)
    = (121 - 100)/110 = 21/110
    And gain% = [(21/110) / (10/11)] x 100
    = (21 x 11)/11 = 21


  1. By selling 100 pens, a shopkeeper gains the selling price of 40 pens. Find his gain percent.











  1. View Hint View Answer Discuss in Forum

    (SP of 100 pens) - (CP of 100 pens) = SP of 40 pens
    ⇒ SP of 60 pens = CP of 100 pens.

    Correct Option: E

    (SP of 100 pens) - (CP of 100 pens) = SP of 40 pens
    ⇒ SP of 60 pens = CP of 100 pens.

    Let CP of each pen = ₹ 1
    Then, CP of 60 pens = ₹ 60
    SP of 60 pens = ₹ 100

    Gain = 100 - 60 = ₹ 40
    ∴ Gain % = (40/60) x 100 % = 66.67%



  1. If the cost of price of 16 pens is equal to the selling price of 12 pens, then the gain or loss per cent is









  1. View Hint View Answer Discuss in Forum

    Here, a = 16, b = 12
    According to the formula,
    Required gain percent = [(a - b)/b] x 100

    Correct Option: A

    Here, a = 16, b = 12
    According to the formula,
    Required gain percent = [(a - b)/b] x 100
    = [(16 - 12)/12] x 100
    = (4/12) x 100
    = 331/3% (gain)