Question

Profit obtained by selling an article for Rs. 1320 is same the loss, when the same article is sold for Rs.1080. The cost of the commodity is *

Answer 1

Step-by-step explanation:

(1450 - 1280)/ 2 = 170/2 = 85

1450 - 85 = 1280 - 85 = 1365

Long explanation:

Let’s say the cost price of your article is X

Selling price - Profit = Cost price

So 1450 - Profit = X

Selling price + Loss = Cost price

So 1280 + Loss = X

Both of these equations give us the following scenario:

1450 - Profit = 1280 + Loss

If profit amount = loss amount, let’s call this amount Y

So 1450 - Y = 1280 + Y

Therefore 1450 - 1280 = Y + Y

170 = 2Y

Y = 85

So the cost price = 1365

Selling for 1450 made 85 profit, selling for 1280 made 85 loss.