Profit and Loss


  1. A dealer purchased a washing machine for $ 7,660. After allowing a discount of 12% on its marked price, he still gains 10%. Find the marked price of the washing machine.









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    If the marked price of the washing machine be $ y, then

    x × 88
    =
    7660 × 110
    100100

    Correct Option: A

    If the marked price of the washing machine be $ y, then

    x × 88
    =
    7660 × 110
    100100

    ⇒ y =
    7660 × 110
    = $ 9575
    88


  1. How much percent above the cost price should a shopkeeper mark his goods so as to earn a profit of 32% after allowing a discount of 12% on the marked price?









  1. View Hint View Answer Discuss in Forum

    Let the C.P. be 100 and the marked price be $ y .
    According to question ,

    ∴ y ×
    88
    = 132
    100

    Correct Option: A

    Let the C.P. be 100 and the marked price be $ y .
    According to question ,

    ∴ y ×
    88
    = 132
    100

    ⇒ y =
    132 × 100
    = 150 i.e., more by 50%
    88



  1. The cost of manufacture of a tape recorder is $ 1,500. The manufacturer fixes the marked price 20% above the cost of manufacture and allows a discount in such a way as to get a profit of 8%. The rate of discount is









  1. View Hint View Answer Discuss in Forum

    Given that , The cost of manufacture of a tape recorder = $ 1,500

    Marked price of tape recorder =
    1500 × 120
    = $ 1800
    100

    Gain =
    1500 × 8
    = $ 120
    100

    Discount = 1800 – (1500 + 120) = $ 180
    Let Discount percent = y%, then
    1800 × y
    = 180
    100

    ⇒ y = 10%
    Second method to solve this question :
    If the discount be d%, then
    20 – d –
    20d
    = 8
    100

    ⇒ 20 -
    6d
    = 8
    5

    Correct Option: D

    Given that , The cost of manufacture of a tape recorder = $ 1,500

    Marked price of tape recorder =
    1500 × 120
    = $ 1800
    100

    Gain =
    1500 × 8
    = $ 120
    100

    Discount = 1800 – (1500 + 120) = $ 180
    Let Discount percent = y%, then
    1800 × y
    = 180
    100

    ⇒ y = 10%
    Second method to solve this question :
    If the discount be d%, then
    20 – d –
    20d
    = 8
    100

    ⇒ 20 -
    6d
    = 8
    5

    6d
    = 20 – 8 = 12
    5

    ⇒ d =
    12 × 5
    = 10%
    6


  1. The marked price of an article is 50% above cost price. When marked price is increased by 20% and selling price is increased by 20%, the profit doubles. If original marked price is $ 300, then original selling price is









  1. View Hint View Answer Discuss in Forum

    Let the original S.P. be y.

    C.P. of the article =
    300 × 100
    = $ 200
    150

    After corresponding increases
    y × 120
    - 200 = 2 (y - 200)
    100

    Correct Option: B

    Let the original S.P. be y.

    C.P. of the article =
    300 × 100
    = $ 200
    150

    After corresponding increases
    y × 120
    - 200 = 2 (y - 200)
    100

    6y
    - 200 = 2y - 400
    5

    ⇒ 6y – 1000 = 10y – 2000
    ⇒ 4y = 1000 ⇒ y = $ 250



  1. The marked price of an article is 10% higher than cost price. A discount of 10% is given on marked price. In this kind of sale, the seller bears :









  1. View Hint View Answer Discuss in Forum

    Let the CP of article be 100.
    From the question ,
    ∴ Marked price = $ 110
    After 10% discount, SP of article = 90% of $ 110 = $ 99

    Correct Option: D

    Let the CP of article be 100.
    From the question ,
    ∴ Marked price = $ 110
    After 10% discount, SP of article = 90% of $ 110 = $ 99
    ∴ Loss = $ 1 i.e. 1% of loss