Profit and Loss


  1. By selling 12 kg of potatoes for Rs. 63, a shopkeeper gains 5%. What does he gain or lose percent by selling 50 kg of the same potatoes for Rs. 247.50?









  1. View Hint View Answer Discuss in Forum

    Given that , Selling Price of 12 kg of potatoes = Rs. 63

    C.P. of 12 kg of potatoes = Rs.63 × 100= Rs. 60
    105

    ∴ C.P. of 50 kg of potatoes =
    60
    × 50 = Rs. 250
    12

    S.P. of 50 kg of potatoes = Rs. 247.50

    Correct Option: A

    Given that , Selling Price of 12 kg of potatoes = Rs. 63

    C.P. of 12 kg of potatoes = Rs.63 × 100= Rs. 60
    105

    ∴ C.P. of 50 kg of potatoes =
    60
    × 50 = Rs. 250
    12

    S.P. of 50 kg of potatoes = Rs. 247.50
    Loss = C.P. of 50 kg of potatoes - S.P. of 50 kg of potatoes
    Loss = Rs. (250 – 247.50) = Rs. 2.5
    ∴ Loss percent =
    2.5
    × 100 = 1%
    250


  1. A shopkeeper sold an article at a loss of 20%. But if he could sell it at Rs. 200 more, he could earn a profit of 5%. The cost price of the article is









  1. View Hint View Answer Discuss in Forum

    Let the C.P. of article be Rs. y.
    According to the question,

    y × 105
    -
    y × 80
    = 200
    100100

    ⇒ 105y – 80y = 20000
    ⇒ 25y = 20000
    ⇒ y =
    20000
    = Rs. 800
    25

    Using the given formula :
    Here, a = 20%, R = 200, b = 5%
    C.P. =
    R × 100
    b + a

    Correct Option: A

    Let the C.P. of article be Rs. y.
    According to the question,

    y × 105
    -
    y × 80
    = 200
    100100

    ⇒ 105y – 80y = 20000
    ⇒ 25y = 20000
    ⇒ y =
    20000
    = Rs. 800
    25

    Using the given formula :
    Here, a = 20%, R = 200, b = 5%
    C.P. =
    R × 100
    b + a

    C.P. =
    100 × 200
    20 + 5

    C.P. =
    100 × 200
    = Rs. 800
    25



  1. If cost of 15 eggs be 75 rupees, then find out the cost of 5 dozen eggs.









  1. View Hint View Answer Discuss in Forum

    Cost of one egg x 5 x 12

    Correct Option: A

    Cost of 15 eggs = 75 rupees
    Cost of 1 egg = 75/15 = 5 rupees,
    Cost of 5 dozens, i.e. 5 x 12 = 60 x 5 = 300


  1. A stationer buys diaries at 75 rupees per dozen and sells them at 15 rupees per piece. What is the profit?









  1. View Hint View Answer Discuss in Forum

    Each dozen carries cost 75 rupees and are sold for
    12 x 15 = 180 rupees

    Correct Option: C

    Each dozen carries cost 75 rupees and are sold for
    12 x 15 = 180 rupees
    profit = SP-CP
    profit = 180-75 = 105 rupees



  1. A man bought 18 oranges for a rupee and sold them at 12 oranges for a rupee. what is the profit percentage ?









  1. View Hint View Answer Discuss in Forum

    From question CP/SP = 12/18 = 2/3
    ∴ Profit (%) = ( 3 - 2 ) / 2 x 100

    Correct Option: B

    From question CP/SP = 12/18 = 2/3
    ∴ Profit (%) = ( 3 - 2 ) / 2 x 100 = 50%

    2nd Solution:
    CP = 100/18 = 5.55 paisa
    SP = 100/12 = 8.33 paisa
    ∴ Profit = (8.33-5.55)/5.55 x 100 = 50 %