Question

A shopkeeper sold an article for Rs 300, thereby making a profit of 25% What is the cost price of
the article.
​

Answer 1

$\large{\underline{\sf Answer :-}}$

$\sf\huge\boxed{C.P = Rs. 240}$

$\large{\underline{\sf Solution :-}}$

Given,

Selling price of the article = Rs. 300

Let the C.P of the article be x

Profit = 25% of x

We know that,

C.P = S.P - Profit

According to question,

$\sf\longrightarrow x = 300 - 25\% \: of \: x$

$\sf\longrightarrow x = 300 - \dfrac{25}{100} \times x$

$\sf\longrightarrow x = 300 - \dfrac{x}{4}$

$\sf\longrightarrow x + \dfrac{x}{4} = 300$

$\sf\longrightarrow \dfrac{4x + x}{4} = 300$

$\sf\longrightarrow \dfrac{5x}{4} = 300$

$\sf\longrightarrow x = \dfrac{300 \times 4}{5}$

$\sf\therefore x = 240$

Hence, The cost price of the article is Rs. 240 respectively.

Answer 2

Answer:

${\boxed{\bold\green{CP \: of \: article= Rs.240}}}$

Step-by-step explanation:

Given:-

• SP of article = Rs.300
• Profit = 25%

To find :-

• CP of article = ?

Let CP of article be Rs. M

${\underline{\underline{\sf{Profit:-}}}}$

$\Rightarrow\sf Profit = M \times 25\% \\\\\Rightarrow\sf Profit = M \times \dfrac{25}{100} \\\\\Rightarrow\sf Profit = \dfrac{M }{4}$

$\rule{300}{1}$

We know that, if it's a gain:-

${\boxed{\bold\green{CP = SP - Profit}}}$

$\hookrightarrow\sf M = 300 - \dfrac{M}{4} \\\\\hookrightarrow\sf M =\dfrac{1200 - M}{4} \\\\\hookrightarrow\sf 4M = 1200 - M \\\\\hookrightarrow\sf 4M + M = 1200 \\\\\hookrightarrow\sf 5M = 1200 \\\\\hookrightarrow\sf M =\cancel{\dfrac{1200}{5}} \\\\\hookrightarrow{\boxed{\sf\green{M = Rs.240 }}}$

$\therefore\bold{CP = Rs.240}$