Question

the profit earned on selling an article for Rs575 is equal to loss suffered when the article is sold for rs 325.the cost price of the article will be how much​

Answer 1

Answer:

$\large{\underline{\boxed{\sf Cost \: Price = Rs. \: 450}}}$

Step-by-step explanation:

Let the cost price of the article be x.

According to the question ;

Profit earned on selling an article for Rs 575 is equal to loss suffered when the article is sold for Rs 325.

Profit = Selling price - cost price

⇒ Profit earned = 575 - x.... (i)

And,

Loss = Cost price - Selling price

⇒ Loss suffered = x - 325..... (ii)

On comparing equation (i) and (ii),

575 - x = x - 325

⇒ - x - x = - 325 - 575

⇒ - 2x = - 900

⇒ x = $\dfrac{900}{2}$

⇒ x = 450

Hence, the cost price of the article is Rs 450.

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$\large{\underline{\underline{\mathfrak{\heartsuit \: Extra \: Information: \: \heartsuit}}}}$

Profit = Selling Price - Cost Price

Loss = Cost Price - Selling Price

Profit % = $\dfrac{\text{Profit}}{\text{Cost \: Price}} * 100$

Loss % = $\dfrac{\text{Loss}}{\text{Cost \: Price}} * 100$