Question

After giving a discount of 40% on an article, there is still a profit of 25%. If no discount is given, then what will be the profit percentage?​

Answer 1

Answer:

if no discount given

profit = 25%

discount=40%

25+40=65

=65%

Step-by-step explanation:

Answer 2

Answer:

The Profit percentage is 25%.        

Step-by-step explanation:

Given : After giving a discount of 40% on an article, there is still a profit of 25%. If no discount is given.

To find : What will be the profit percentage?​

Solution :

Let the marked price be = Rs. 100.

A discount of 40% on an article

The selling price is

$SP = 100 - 40\% \text{ of } 100$

$SP = 100 - \frac{40}{100}\times 100$

$SP = 100 - 40$

$SP =60$

Profit = 25%.

Let the cost price be 'x',

Selling price = Rs.60

$SP=\frac{100+P\%}{100}\times CP$

$60=\frac{100+25}{100}\times x$

$60=\frac{125}{100}\times x$

$x=\frac{60\times100}{125}$

$x=48$

The cost price is Rs.48.

Profit on article is P=SP-CP

P=60-48=Rs.12

Profit percentage is given by,

$P\%=\frac{P}{CP}\times 100$

$P\%=\frac{12}{48}\times 100$

$P\%=25\%$

Therefore, The Profit percentage is 25%.