Profit and Loss

Profit and Loss

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  1. What is the percentage profit made by selling an umbrella at a certain price, if by selling at 2/3rd of that price, there would be a loss of 10% ?








  1. View Hint View Answer Discuss in Forum

    Let the selling price for the umbrella is P.
    Cost price for the umbrella is Q.

    Now from question
    Q - 2P/3 = 10% of Q.

    Correct Option: C

    Let the selling price for the umbrella is P.
    Cost price for the umbrella is Q.

    Now from question
    Q - 2P/3 = 10% of Q.
    ⇒ P = (3/2)(Q - 10% of Q)
    ⇒ P = (3/2) x (90/100) x Q
    ∴ P = 1.35 x Q.

    So % profit = [(1.35 x Q - Q)/Q]x100 % = 35 % profit.

  1. A shopkeeper sells wheat at a profit of 10% and uses weight which are 20% less than the actual weight. The total gain earned by him will be ?








  1. View Hint View Answer Discuss in Forum

    Let the actual price of per kg of wheat = ₹ . 100
    Then, selling price = 110% of 100 = ₹ 110

    Now, shopkeeper sell 20% less than actual weight so cost price to shopkeeper will be = 80% of 100
    = (80 x 100)/100
    = ₹ 80

    Correct Option: C

    Let the actual price of per kg of wheat = ₹ . 100
    Then, selling price = 110% of 100 = ₹ 110

    Now, shopkeeper sell 20% less than actual weight so cost price to shopkeeper will be = 80% of 100
    = (80 x 100)/100
    = ₹ 80

    Hence, required profit gained by shopkeeper = [(110 - 80)/80] x 100
    = (30/80) x 100
    = 37.5%

  1. A man buys two hens for Rs. 500 each. He sod one for 15% profit and other for 5% loss. Find his profit percentage ?








  1. View Hint View Answer Discuss in Forum

    SP. of first hen = (115/100) x 500 = Rs. 575
    SP of second hen = (95/100) x 500 = Rs. 475
    Total SP = 575 + 475 = Rs. 1050
    Total CP = 2 x 500 = Rs. 1000
    Gain = SP - CP = (1050 - 1000) = Rs. 50

    Correct Option: A

    SP. of first hen = (115/100) x 500 = Rs. 575
    SP of second hen = (95/100) x 500 = Rs. 475
    Total SP = 575 + 475 = Rs. 1050
    Total CP = 2 x 500 = Rs. 1000
    Gain = SP - CP = (1050 - 1000) = Rs. 50
    Gain percentage = (50/1000) x 100 = 5%

  1. If the cost price of 12 pencils is equal to sale price of 10 pencils, then find the gain or loss as a percentage of the sell price ?








  1. View Hint View Answer Discuss in Forum

    CP of 12 pencils = Rs. 12
    ∴ SP of 10 pencils = Rs.12
    ⇒ SP of 12 Pencils = (12/10) x 12 = Rs.14.40

    Correct Option: A

    CP of 12 pencils = Rs. 12
    ∴ SP of 10 pencils = Rs.12
    ⇒ SP of 12 Pencils = (12/10) x 12 = Rs.14.40
    ∴ Gain per cent = {(14.40 - 12)/12} x 100 = 20%

  1. Ram bought 800 eggs at Rs. 3.75 each per dozen. He sold 450 of them at 2 for Rs. 1 and remaining at 5 for Rs. 2. His gain % is ?








  1. View Hint View Answer Discuss in Forum

    Total CP = (3.75/12) x 800 = (375/1200) x 800 = Rs. 250
    Total SP = (1/2) x 450 + (2/5) x 350 = 225 + 140 = Rs. 365

    Correct Option: B

    Total CP = (3.75/12) x 800 = (375/1200) x 800 = Rs. 250
    Total SP = (1/2) x 450 + (2/5) x 350 = 225 + 140 = Rs. 365
    Gain = 365 - 250 = Rs. 115
    Gain percentage = (115/250) x 100% = 46%