Question

1. Profit after selling an article for Rs 425 is the same
as loss after selling it for Rs 355. The cost of the
article is
(a) Rs 390
(b) Rs 405
(c) Rs 380
(d) None of these​

Answer 1

Answer:

(a)Rs 390

Step-by-step explanation:

Let the cost of the article be x

Profit by selling article at Rs 425=425-x

Less by selling article at Rs 355=x-355(as x>355)

425-x=x-355

780=2x

x=Rs 390

Answer 2

Answer:

CP = 390 [option a.]

Step-by-step explanation:

Given:

SP at profit = Rs 425

SP at loss = Rs 355

To Find:

Selling Price of the article =?

Procedure:

Let's assume profit to be x

given that, profit is similar to the loss, we can infer that: Loss is also 'x'.

Now, we are valid to conclude that:

CP + x = 425

CP - x = 355

Profit → CP = 425 - x

Loss → CP = 355 + x

We know that profit and loss are equal. So, equation formed would be:

$\implies \bf \: 425 - x = 355 + x$

$\implies \sf \: - x - x = 355 - 425$

$\implies \sf \: 2x = 70$

$\implies \sf \: x = 35$

Hence, profit and loss are 35.

Now, let's find Cost Price:-

CP = 425 - 35

CP = 390 Rs

Hence, the Cost price of the article is 390 Rs.[option a.]