Profit and Loss


  1. A balance of a trader weighs 10% less then it should be. still the trader marks-up his goods to get the overall profit of 20%. What is the mark up on the cost price ?









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    Let the CP be Rs. 1 per g
    but he weighs 900 g for every 1000 g
    ∴ value of goods sold = 900
    Now, let the markup be x%
    ∴ MP = 1000 + 1000x / 100 = ( 1000 + 10x )
    but since MP = SP,
    ∴ SP = ( 1000 + 10x )

    Hence, profit (%) = [{( 1000 + 10x ) - 900} / 900] x 100 = 20

    Correct Option: B

    Let the CP be Rs. 1 per g
    but he weighs 900 g for every 1000 g
    ∴ value of goods sold = 900
    Now, let the markup be x%
    ∴ MP = 1000 + 1000x / 100 = ( 1000 + 10x )
    but since MP = SP,
    ∴ SP = ( 1000 + 10x )

    Hence, profit (%) = [{( 1000 + 10x ) - 900} / 900] x 100 = 20

    ⇒ x = 8

    Thus the markup = 8%


  1. A scientific calculator is available at Universal Shoppe in Hazratganz at 20% discount and the same is available at only 15% discount at universal shoppe Bhootnath market. Ms. Agrawal has just sufficient amount of Rs.800 to purchase it at universal Shoppe Hazratganz. What is the amount that Ms. Agrawal has less than the required amount to purchase it at universal soppe Bhootnath ?









  1. View Hint View Answer Discuss in Forum

    Let markup price be y.
    Cost price (CP) = 20 % discount on MP = 0.8y = 800
    ⇒ y= Rs.1000 MP

    SP at Hazratganz = Rs. 800
    SP at Bhootnath = 1000 X 0.85 = 850

    Correct Option: B

    Let markup price be y.
    Cost price (CP) = 20 % discount on MP = 0.8y = 800
    ⇒ y= Rs.1000 MP

    SP at Hazratganz = Rs. 800
    SP at Bhootnath = 1000 X 0.85 = 850

    So, she requires Rs. 50 more to purchase the same calculator at Bhootnath.



  1. A person wants to reduce the trade tax so he calculates his profit on the sale price instead of on the cost price.In this way by selling a article for Rs. 280 he calculates his profit as 142/7%. What is his actual profit percentage ?









  1. View Hint View Answer Discuss in Forum

    Selling price(SP) = 280.
    Cost price (CP) = SP - 142/7% = 240.

    Correct Option: B

    Selling price(SP) = 280.
    Cost price (CP) = SP - 142/7% = 240.

    Actual profit (%) = (40 / 240) x 100 = 16.66%


  1. Anna sold his car Boney at a profit of 20% and Boney sold it to Chakori at a profit of 10%. Chakori sold it to mechanic at a loss of 9.09%.Mechanic spent 10% of his purchasing price and then sold it at a profit of 8.33% to Anna once again. what is the loss of Anna?









  1. View Hint View Answer Discuss in Forum

    Anna:
    CP = 100
    SP = 120

    Boney:
    CP = 120
    SP = 132

    Chakori:
    CP = 132
    SP = 120

    Mechanic:
    CP = 120 + 12 = 132
    SP = 143

    Correct Option: A

    Anna:
    CP = 100
    SP = 120

    Boney:
    CP = 120
    SP = 132

    Chakori:
    CP = 132
    SP = 120

    Mechanic:
    CP = 120 + 12 = 132
    SP = 143


    Loss of Anna = 143 - 20 = 23
    % loss of Anna = (23 / 100) x 100 = 23%



  1. I asked the shopkeeper the price of a wristwatch. I found that I had just the required sum of money. When the shopkeeper allowed me a discount of 25%, I could bought another watch worth Rs. 940 for my younger sister. What is the price Which I have paid for my own watch?









  1. View Hint View Answer Discuss in Forum

    If I had Rs. 100
    Discount = 25 = cost of my sister's watch

    The cost of my own watch = 75
    Thus the ratio of cost of my own watch to that of my sister's watch = 3 : 1

    Correct Option: C

    If I had Rs. 100
    Discount = 25 = cost of my sister's watch

    The cost of my own watch = 75
    Thus the ratio of cost of my own watch to that of my sister's watch = 3 : 1
    So the cost of my own watch = 3 x 940 = 2820