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Profit & Loss Test 210
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Profit & Loss Test 210
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  • Question 1/10
    1 / -0.25

    An article is marked 25% above its cost price. If x% discount is allowed on the marked price and still there is a profit of 5.5%, then what is the value of x?
    Solutions

    Let the cost price of the article be 100y.

    Then, Marked Price = 100y + 25% of 100y = 125y

    Given, Profit = 100y × 5.5% = 5.5y

    Discount = MP – SP = 125y – (100y + 5.5y) = 19.5y

    Thus, Discount (in %) =  = 15.6%

  • Question 2/10
    1 / -0.25

    A T.V. is sold at 8% gain. Had it been sold for Rs. 714 more, the gain would have been 15%. To gain 18%, the selling price of the T.V. should be:
    Solutions

    Let the cost price of TV be 100x.

    Selling Price if 8% gain is to be earned = 100x + (100x) × 8% = 108x

    Selling Price if 15% gain is to be earned = 100x + (100x) × 15% = 115x

    However, difference between both the selling prices = Rs. 714

    115x – 108x = 714

    7x = 714

    x = 102

    Therefore, Cost Price = 102 × 100 = Rs. 10200

    And Selling Price for 18% profit = 10200 + 10200 × 18%

    = 10200 + 1836

    = Rs. 12036

  • Question 3/10
    1 / -0.25

    The marked price of an article is 25% more than its cost price. If 10% discount is given on the marked price, then what is the profit percentage?
    Solutions

    Let the Cost Price of article be x.

    Then, Marked Price = (x) + (x) × 25% = 1.25x

    Sale Price = Marked Price – Discount

    = (1.25x) – (1.25x) × 10%

    = 1.25x - 0.125x = 1.125x

    Profit Percentage =

    =  = 12.5%

  • Question 4/10
    1 / -0.25

    The marked price of an article is Rs.1,280. If a shopkeeper sold the article at 12% profit after giving 30% discount, then the cost price of the article is:
    Solutions

    We know that:

     

     

     cp =

     cp = 800 RS.

  • Question 5/10
    1 / -0.25

    A retailer marks a computer at Rs. 34400. He allows a discount of 12% on it and yet makes a profit of 10%. What will be his profit percentage, if he does not allow any discount?
    Solutions

    Given:

    Marked Price of computer = Rs. 34400

    Selling Price of computer = 34400 – (34400 × 12%) = Rs. 30272

    And Cost Price of computer =  = Rs. 27520

    Profit, if the retailer does not allow any discount = 34400 – 27520 = Rs. 6880

    Therefore, profit percentage in above case =  = 25%

  • Question 6/10
    1 / -0.25

    The loss percentage when a T-shirt is sold at Rs. 275 is the same as that of the profit when it is sold at Rs. 305 . Find above mentioned percentage of profit or loss on the article is:
    Solutions

    Let CP of the article = Rs x

    According to question

    Loss% = profit%

    x = 290

    Cost price of article = Rs. 290

    Selling price of article = Rs. 275

    Loss= CP-SP =Rs. 290 – Rs. 275 = Rs. 15

    Loss% =

  • Question 7/10
    1 / -0.25

    The ratio of the marked price to the selling price of an article is 5:3. What is the discount percentage?
    Solutions

    Let the marked price and the selling price of an article be Rs. 5x and Rs. 3x, respectively.

    Discount = MP – SP

    = 5x – 3x

    = Rs. 2x

    Discount percentage = = 40%

    (MP = Marked price, SP = Selling price)

  • Question 8/10
    1 / -0.25

    Reshma buys two articles A and B for Rs. 1,734 . She sells A at a loss of 16% and sells B at a gain of 20%. The selling price of both the articles is the same. If A is sold for Rs. 1,147.50, then the gain per cent on A is:
    Solutions

    Let the cost price of A be x and B be y.

    Then x + y = Rs.1734

    And 0.84x = 1.2y

     =

    Therefore, x = 1734 ×  = Rs. 1020

    Hence, cost price of A is Rs. 1020

    Profit (in %) on A (SP = Rs. 1147.50) =

    =  = 12.5%

  • Question 9/10
    1 / -0.25

    A shop keeper reduces the selling price of an article by 39, a gain of 10% turns in to a loss of 3%, then the original price of the article is?
    Solutions

    Let cost price of article = 100 unit

    If Gain = 10%

    Then Selling price of article = 100 unit + 10 unit = 110 unit

    If Loss = 3%

    Then Selling price of article = 100 unit + 3 unit = 97 unit

    Reduction in the selling price of article = 110 unit – 97 unit = 13 unit

    According to the question,

    13 unit Rs. 39

    1 unit Rs. 3

    100 unit Rs. 300

    So, the original price of the article = Rs. 300

  • Question 10/10
    1 / -0.25

    Remi earns a profit of 20% on selling an article at a certain price. If she sells the articles for Rs. 8 more, she will gain 30%. What is the original cost price of 16 such articles?
    Solutions

    Let the cost price of an article be Rs. x.

    Then, selling price in case of profit of 20% = x + (x) × 20% = 1.2x

    And selling price in case of profit of 30% = x + (x) × 30% = 1.3x

    Now, as per question

    1.3x – 1.2x = 8

    0.1x = 8

    x =  = 80 = Cost Price of 1 article

    Therefore, Cost price of 16 such articles = 16x = 16 × 80 = Rs. 1280

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