Question

A trader marks his goods 40% above the cost price.he sells them at a a discount of 5%.what is hds loss or gain percentage. ?

Answer 1

let the cp=100
sp=100+40%of 100
=140
after discount=140-5% of 140
=133
profit=133-100=33
profit%=33/100*100
33% profit

Answer 2

Answer:

The gain percentage is 33%.

Step-by-step explanation:

Let the cost price of goods be x.

A trader marks his goods 40% above the cost price. The market price of goods is

$M.P.=x+\frac{40}{100}x=x+0.4x=1.4x$

He sells them at a a discount of 5%. The selling price of goods is

$S.P.=1.4x-\frac{5}{100}(1.4x)=1.4x+0.07x=1.33x$

Profit percentage formula:

$Profit\%=\frac{SP-CP}{CP}\times 100$

$Profit\%=\frac{1.33x-x}{x}\times 100=33\%$

Therefore the gain percentage is 33%.