Question

$\large{ \sf{ \underline{Question : }}}$

The cost price of 10 articles is equal to the selling price of 9 articles. Find the profit percent.

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Answer 1

Answer :

Refer the attachment ...

Answer 2

Answer:

Given :-

• The cost price of 10 articles is equal to the selling price of 9 articles.

To Find :-

• What is profit percentage.

Solution :-

Let,

$\mapsto \bf Cost\: Price =\: Rs\: x$

$\mapsto \bf Selling Price =\: Rs\: y$

According to the question :

$\bigstar$ The cost price of 10 articles is equal to the selling price of 9 articles.

So,

$\implies \sf 10x =\: 9y$

$\implies \sf\bold{x =\: \dfrac{9y}{10}}$

Hence, the selling price is more than cost price.

So, it will be profit.

So, as we know that :

$\implies \sf\boxed{\bold{Profit =\: S.P. - C.P.}}$

where,

• S.P. = Selling Price
• C.P. = Cost Price

According to the question by using the formula we get,

$\implies \sf Profit =\: S.P. - C.P.$

$\implies \sf Profit =\: y - \dfrac{9y}{10}$

$\implies \sf Profit =\: \dfrac{10y - 9y}{10}$

$\implies \sf\bold{Profit =\: \dfrac{y}{10}}$

Now, we have to find the profit percentage :

Given :

• Profit = y/10
• Cost Price = 9y/10

According to the question by using the formula we get,

$\implies \sf\boxed{\bold{Profit\% =\: \dfrac{Profit}{Cost\: Price} \times 100}}$

So, by putting those values we get,

$\implies \sf Profit\% =\: \dfrac{\dfrac{y}{10}}{\dfrac{9y}{10}} \times 100$

$\implies \sf Profit\% =\: \dfrac{y}{10} \times \dfrac{10}{9y} \times 100$

$\implies \sf Profit\% =\: \dfrac{10\cancel{y}}{90\cancel{y}} \times 100$

$\implies \sf Profit\% =\: \dfrac{10}{90} \times 100$

$\implies \sf Profit\% =\: \dfrac{1000}{90}$

$\implies \sf\bold{\underline{Profit\% =\: 11.11\%}}$

$\therefore$ The profit percentage is 11.11% .