Question

if the selling price of 20 articles is equal to the cost price of 23 articles, find the loss or gain percent for each article​

Answer 1

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Let CP of each article be x

CP of 23 articles = 23x

SP of 20 articles = CP of 23 articles = Rs 23x

SP of 1 article =

$\frac{23x}{20}$

Profit = SP - CP

=

$\frac{23x}{20} - x = \frac{3x}{20}$

Profit (%) =

$\frac{3x/20}{cp} \times 100 \\ = \frac{3x/20}{x} \times 100 \\ = \frac{3x}{20x} \times 100 \\ = 15\%$

Answer 2

Given:

Selling price of 20 articles is equal to the cost price of 23 articles.

To find:

We need to find the profit and loss percent of the article.

Solution:

Let us consider the cost price of 1 article = Rs.100

So, the cost price of 20 article = Rs.100 × 20

     The cost price of 20 article = Rs.2000

The cost price of 23 article = Rs.2300  

Given that the selling price of 20 article is equal to the cost price of 23 article.

Profit on 20 article (2300 - 2000) = Rs.300

Gain percent = $\frac{Gain}{Cost price}$ × 100

                      = $\frac{300}{2000}$ × 100

                      = 15%                  

Therefore, Gain Percent = 15%