Profit and Loss


  1. A man sold an article at loss of 20%. If he sells the article for ₹ 12 more, he would have gained 10%. The cost of price of the article is ?









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    Let the CP = N
    According to the question, (110N/100) - (80N/100) = 12

    Correct Option: B

    Let the CP = N
    According to the question, (110N/100) - (80N/100) = 12
    ⇒ (11N/10) - (4N/5) = 12
    ⇒ 11N - 8N = 120
    ∴ N = 120/3 = 40
    ∴ CP = ₹ 40


  1. By selling an umbrella for ₹ 30, a shopkeeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% of the marked price. His gain percentage during the sale season is









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    Given, selling price of an umbrella = ₹ 30
    Profit percentage = 20%
    ∴ Cost price of an umbrella = (30 x 100)/120 = ₹ 25
    During the clearance sale, selling price of an umbrella = (30 x 90)/100 = ₹ 27

    Correct Option: C

    Given, selling price of an umbrella = ₹ 30
    Profit percentage = 20%
    ∴ Cost price of an umbrella = (30 x 100)/120 = ₹ 25
    During the clearance sale, selling price of an umbrella = (30 x 90)/100 = ₹ 27
    ∴ Required profit percentage = [(27 - 25)/25] x 100% = 8%



  1. On selling an article at ₹ 530, the gain is 20% more than the loss incurred on selling it at ₹ 475. In order to gain 20% the selling price will be











  1. View Hint View Answer Discuss in Forum

    Let CP = N
    Then, according to the question,
    (120/100) x (N - 475) = (530 - N)

    Correct Option: B

    Let CP = N
    Then, according to the question,
    (120/100) x (N - 475) = (530 - N)
    ⇒ (6/5) x (N - 475) = (530 - N)
    ⇒ (6N - 2850) = (2650 - 5N)
    ⇒ 11N = 5500
    ∴ N = ₹ 500
    ∴ Required SP = (500 x 120)/100 = ₹ 600


  1. A dealer bought 80 cricket bats for ₹ 50 each. He sells 20 of them at a gain of 5%. What must be the gain percentage of the remaining bats, so as to get 10% gain on the whole ?









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    Let required percentage profit = N%
    According to the question,
    10% of (80 x 50) = 5% of (20 x 50) + N% of (60 x 50)

    Correct Option: C

    Let required percentage profit = N%
    According to the question,
    10% of (80 x 50) = 5% of (20 x 50) + N% of (60 x 50)
    ⇒ (80 x 50 x 10)/100 = [(20 x 50 x 5)/100] + (60 x 50 x N)/100
    ⇒ 80 = 10 + 6N
    ⇒ N = 70/6 = 112/3%



  1. The price of a land passing through three hands, rises on the whole by 65%. If the first and second sellers earned 20% and 25% profit, respectively. Find the profit earned by the third seller ?











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    Required profit = (100 + 65) x (100/120) x (100/125) - 100

    Correct Option: C

    Required profit = (100 + 65) x (100/120) x (100/125) - 100
    = 110 - 100 = 10%