Question

a shopkeeper sold an article offering at a discount of 5% and earned a profit of 23.5%. what would have been the percentage of profit earned if no discount was offered ?

Answer 1

HELLO FRIEND HERE IS YOUR ANSWER,,,,,,

Let us set a value for the cost price , that is , Rs. 100.

Therefore, the selling price will be

= > $100 + 23.50$

= > $Rs. 123.50$

Now, let Marked price be set as a variable of Rs. "x".

Therefore,,,

$\frac{95}{100}x = 123.50$

$95x = 123.50 \times 100$

Now,

$x = \frac{12350}{95} \\ \\ \\ = Rs. 130$

$\therefore \: \: Selling \: Price = Rs. 130 \\ \\ \\ Cost \: Price = Rs. 100$

$\therefore \: \: Profit \: attained = Selling \: Price - Cost \: Price$

$Profit \: attained = 130 - 100 \\ \\ \\ = > Profit \: attained = 30$

$\therefore \: \: Total \: Percentage \: Profit = \frac{Total \: Profit}{Cost \: Price} \times 100%$

Now, By the above formulae we can calculate and find the final answer,,,,

$\therefore \: \: Total \: Percentage \: Profit = \frac{30}{100} \times 100$ %

$Total \: Percentage \: Profit = 30$ %

ANSWER $\boxed{\textbf{\huge{30}}}$ %

HOPE THIS HELPS YOU AND CLEARS YOUR DOUBTS FOR PROFIT AND LOSS CONCEPTUAL QUESTIONS !!!!!

Answer 2

Answer:

Step-by-step explanation:

Let x be the printed price & cost price is 100

Now according to question

x-{(5/100)×x} = 123.5

or x=130

Now, for no discount printed price becomes selling price which is 130

So the required and is 30%