Question

profit after selling a commodity for Rs.425 is same as loss after selling it for Rs355 What is the cost of the commodity?

Answer 1

Profit = SP - CP
Loss = CP - SP

Let the CP be CP.

so profit = 425 - CP

and loss = CP - 355

as per the question, these two are equal.

425 - CP = CP - 355

2 CP = 780
CP = 390 answer

Answer 2

The cost of the commodity is ₹ 390.

Given:

The profit after selling a commodity  for ₹425 is the same as the loss after selling it for ₹355

To Find:

The cost of the commodity.

Solution:

We know that

• Profit = Selling price(SP) - Cost price(CP)
• Loss = Cost price(CP) - Selling price(SP)

Let Z be the cost price.

∴ Profit = SP -Z and Loss = Z - SP

Given that the commodity is profit at a Selling price of ₹ 425 and loss at a Selling price of ₹ 355.

⇒ Profit = 425 - Z

⇒ Loss = Z - 355

By given condition,

Profit = Loss

425 - Z = Z - 355

2Z = 425+355

2Z = 780

Z = 780/2

Z=390.

∴The cost of the commodity is ₹ 390.

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