A shopkeeper decides to sell a certain item at a certain price. He tags the price on the item by increasing the decided price by $25$ % . While selling the , he offers $20$ % discount . Find how many more or less percent he gets on the decided price.

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Solution

let the original price be $x$
He increased it by $25 %$
So the total cost is now= $x + \frac{25}{100} x x (1 + \frac{1}{4}) \frac{5 x}{4}$
Now the discount is $20 %$
The price now is = $\frac{5}{4} x - \frac{20}{100} \frac{5}{4} x \frac{5}{4} x (1 - \frac{1}{5}) \frac{5}{4} x (\frac{4}{5}) = x$
So there is no net profit and loss

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A shopkeeper decides to sell a certain item at a certain price. He tags the price on the item by increasing the decided price by 25% . While selling the , he offers 20% discount . Find how many more or less percent he gets on the decided price.

let the original price be xHe increased it by 25%So the total cost is now= x+25100xx(1+14)5x4Now the discount is 20%The price now is =54x−2010054x54x(1−15)54x(45)=xSo there is no net profit and loss

A shopkeeper decides to sell a certain item at a certain price. He tags the price on the item by increasing the decided price by $25$ % . While selling the , he offers $20$ % discount . Find how many more or less percent he gets on the decided price.