Question

Profit after selling goods for Rs 425 is the same as the loss after selling it at Rs 355.What is its cost price

Answer 1

STEP 1: Define x

let the profit be x

The loss is the same as the profit, therefore the loss is also x

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STEP 2: Form the equation

425 - x = 355 + x

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STEP 3: Solve x:

425 - x = 355 + x

2x = 70

x = 35

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STEP 4: Find the cost price:

Cost price = 425 - 35 = Rs 390

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Answer: The cost price is Rs 390

Answer 2

$\boxed { \mathfrak { Heya !! }}$

let's represent the Given Data

Selling price when selled at profit :- 425

Selling price when selled at loss :- 355

Question :- To find out Cost price

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From Question it is Clear that ⤵

Here ,profit and loss are denoted with "X"

CP + X = 425
CP - X = 355

CP = 425 - X ( profit )

CP = 355 + X ( loss)

RHS are equall so LHS must be equal

425 - X = 355 + X

425 - X -355 - X = 0

70 - 2x = 0

-2x = -70

X = - 70/ - 2

X = 35

So , Profit and loss are 35

CP = 425 - 35

CP = 390

let's verify our answer with placing X value at loss

CP = 355 +35

CP = 390

Hence verified

$\boxed {\mathfrak { Answer \: :- \: 390}}$