The profit percent gained if an object is sold at Rs 464 is equals to the loss percent when the object is sold at Rs 436. Find the cost price of this object?

450

Profit = selling price - cost price

Loss = cost price - selling price

According to the question, (Profit% = Loss%)

SP₁ - CP = CP - SP₂

464 - CP = CP - 436

2CP = 900

CP = 450

Or

If profit and loss is equal, then cost price will be the exact middle value of two selling price.

Here, SP₁ = 464, SP₂ =436

Therefore, CP = \(\frac{464\,+\,436}{2}\) = \(\frac{900}{2}\) = 450