Question

3. If the profit earned on selling an article for 810 is the same as loss on selling it for 530then find the cost price of the articles.​

Answer 1

The cost price of the article is Rs 670.

Step-by-step explanation:

Let the cost price is Rs x.

The relation between cost price, selling price , profit and loss is

Loss= Cost price - Selling price

Profit = Selling Price - Cost price

Now, Profit earned on selling an article for 810 is

Profit = 810 - x

And loss earned on selling it for 530 is

Loss = x - 530

From the given directions, the profit and loss is same. Hence, we have

810 - x =  x - 530

810 + 530 = 2x

2x = 1340

Divide both sides by 2

x = 670

Therefore, the cost price is Rs 670.

#Learn More:

If selling an article for ₹820 causes 10% loss on the selling price, find its cost price​

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