Formulae Profit and Loss Same Selling Price

In this class, We discuss Formulae Profit and Loss Same Selling Price.

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The selling price of the two articles is the same.

On one article, we are making a profit of x percent, and on another, we are making a loss of x percent, then there will be a loss of (x/10)^2.

Proof:

SP1 = SP2 = y

Total selling price SP = SP! + SP2 = 2y

SP1 = ((100 + x)/100) * CP1

y = ((100 + x)/100) * CP1

CP1 = (100y/(100 + x))

SP2 = ((100 – x)/100) * CP2

y = ((100 – x)/100) * CP2

CP2 = (100y/(100 – x))

Total Cost Price = CP1 + CP2

The below derivation shows the complete proof.