Question

If the profit earned on selling an article for ₹810 is the same as loss on selling it for ₹530,

then find the cost price of the article.​

Answer 1

Answer:

670

Step-by-step explanation:

Let,profit=x and loss=x

profit+loss=profit with selling price - loss with selling price

x+x=810-530

2x=280

x=140

cost price=loss with selling price+loss = 530+140 =670

Answer 2

Answer:

Purchasing price is ₹670

Step-by-step explanation:

Let the price of article be ₹x

Then

Profit = Selling price - Purchasing price

Putting values we get

Profit = 810 - x         ∵ Selling price in this case is ₹810

Similarly

We know know that

Loss = Purchasing price - Selling price

Putting values we get

Loss = x - 530           ∵ Selling price in this case is ₹530

Now

According to given condition

Profit = Loss

Putting the values we get

     810 - x =  x - 530

⇒      x + x = 810 + 530

⇒          2x = 1340  

⇒            x = 1340 / 2

⇒            x =  670

So Purchasing price is ₹670