Question

the profit earned by selling an article for Rs 600 is equal to the Lost when the same article is sold for rupees 400 what should be the sale price of the article for making 25% profit ​

Answer 1

Answer:

Step-by-step explanation:

Let CP = x

Then 600-x=x-400

-x-x=-400-600

-2x=-1000

x=Rs 500

Required

25/100×500+500

=625

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Answer 2

Sale price of article is Rs. 625.

Given - profit, loss and profit percentage

Find - Sale price

Solution - Let the cost price of article be x. Now, relating the profit and loss of the article to find the value of x or cost price.

We know, Profit = Selling price - Cost price

Loss = Cost price - Selling price

Keep the values and equate the two equations -

600 - x = x - 400

Shifting the values of equation

600 + 400 = x + x

Performing addition on both sides fo equation

1000 = 2x

$x = \frac{1000}{2}$

Performing Division

x = 500

Hence, the cost price of article is Rs. 500.

Now, calculating final selling price.

Selling price = $\frac{100 +profit\% }{100} \times cost \: price$

Keep the values in equation

Selling price = $\frac{100 + 25}{100} \times 500$

Selling price = $\frac{125}{100} \times 500$

Cancelling zero from both numerator and denominator

Selling price = $125 \times 5$

Selling price = Rs. 625

Hence, the selling price of article will be Rs. 625.

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