Question

After selling 120 articles one person had a profit of selling price of 20 articles

and cost price of 10 articles together. Find percentage profit for this person

Answer 1

✴✒Hope this Helpssss✒✴....

Answer 2

Percentage profit for this person is 30%.

Step-by-step explanation:

1. Let selling price of one article = x (rupees)

        cost price of one article = y (rupees)

2. Total selling price of 120 articles = 120 x (rupees)

   Total cost price of 120 articles = 120 y (rupees)

3. Total profit = 20 x + 10 y           ...1)      (given)

4.  Total profit = Total selling price - total cost price

    20 x +10 y = 120 x - 120 y

   

    2 x + y = 12 x - 12 y

    10 x = 13 y

 

   $\frac{x}{y}=\frac{13}{10}$        ...2)

5.  Percentage of profit

    % profit =$\frac{(total profit)}{Total cost price}\times 100$

    % profit $= \frac{120 x- 120 y}{120 y}\times 100$

    Which can be written as

   % profit $= (\frac{x}{y}-1)\times 100 =(\frac{13}{10}-1)\times 100=30%$