A trader marks his goods 40% above the cost price and gives a discount of 20% on the marked price.Find his gain percent.

Question

A trader marks his goods 40% above the cost price and gives a discount of 20% on the marked price.Find his gain percent.

in progress 0
Katherine 2 weeks 2021-07-21T02:09:43+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-07-21T02:10:49+00:00

    Given:

    •A trader marks his goods 40% above the cost price.

    •He gives a discount of 20% on the marked price.

    To Find:

    •Find his gain percent.

    Solution:

    Let consider the cost price be x rupees and marked price be x+40%.

    Then,

    Using Formula:

     \:  \:  \sf \: marked \: price = (x + 40 percent \: of \: x \: rupees)

    Now substitute the values

     \:  \:  \sf \: marked \: price  = rupees(x +  \frac{40x}{100} ) \\  \\  \:  \:  \sf = rupees(x +  \frac{2x}{5} )   \\  \\   \:  \:  \sf= rupees \frac{7x}{5}

    Hence,marked price is 7x/5 rupees.

    Discount% = 20%

    Now we have to use the formula of Selling Price

    Using Formula:

     \:  \:  \sf \: sp =  \frac{100 - discount percent}{100}

    Now substitute the values,

     \:  \:  \sf \: sp = ( \frac{100 - 20}{100}  \times  \frac{7x}{5} )  \\  \\  \:  \: \sf = rupees \frac{28x}{25}

    Hence,Selling Price is 28x/25 rupees.

    Now find profit

    Using Formula:

     \:  \:  \sf \: profit = sp - cp

    Now substitute the values

     \:  \:  \sf \: profit = ( \frac{28x}{25}  - x) \\  \\  \:  \:  \sf \: profit =  \frac{3x}{25} rupees

    Hence,Profit is 3x/25rupees.

    Now find Profit%

    Using Formula:

     \:  \:  \sf \: profit percent = ( \frac{profit}{cp}  \times 100)

    Now substitute the values

     \:  \:  \sf \: profit \:  percent = ( \frac{3x}{25 \times x}  \times 100) \\  \\  \:  \:  \sf \: profit \: percent = 12 \: percent

    Hence,profit percent is 12%.

Leave an answer

Browse

9:3-3+1x3-4:2 = ? ( )