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

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

1. 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:

   [tex] \: \: \sf \: marked \: price = (x + 40 percent \: of \: x \: rupees)[/tex]

   Now substitute the values

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

   Hence,marked price is 7x/5 rupees.

   Discount% = 20%

   Now we have to use the formula of Selling Price

   Using Formula:

   [tex] \: \: \sf \: sp = \frac{100 – discount percent}{100} [/tex]

   Now substitute the values,

   [tex] \: \: \sf \: sp = ( \frac{100 – 20}{100} \times \frac{7x}{5} ) \\ \\ \: \: \sf = rupees \frac{28x}{25} [/tex]

   Hence,Selling Price is 28x/25 rupees.

   Now find profit

   Using Formula:

   [tex] \: \: \sf \: profit = sp – cp [/tex]

   Now substitute the values

   [tex] \: \: \sf \: profit = ( \frac{28x}{25} – x) \\ \\ \: \: \sf \: profit = \frac{3x}{25} rupees[/tex]

   Hence,Profit is 3x/25rupees.

   Now find Profit%

   Using Formula:

   [tex] \: \: \sf \: profit percent = ( \frac{profit}{cp} \times 100) [/tex]

   Now substitute the values

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

   Hence，profit percent is 12%.

   Reply