Question

A man sells an article at 15% loss. Had he sold it for Rs. 140/- more he could have gained 20%. What is the cost price of
the article?​

Answer 1

20 units → Rs. 10

1 unit →12×100=50

Answer 2

Given: A man sells an article at a 15% loss. If he sold it for Rs. 140/- more he could have gained 20%.

To find: We have to find the cost price of the article.

Solution:

Let the cost price of the article is x rupees.

The man sold it at a 15% loss so, the selling price of the article is as follows-

$x - x \times \frac{15}{100} \\ \frac{85x}{100}$

If he sold the article at 140 more then the selling price of the article = 85x/100+140

Now he gain 20%.

So, we can write-

$\frac{ \frac{85x}{100} + 140 - x }{x} = \frac{20}{100} \\ 85x + 14000 - 100x = 20x \\ 120x - 85x = 14000 \\ 35x = 14000 \\ x = 400$

The value of x is 400.

So, the cost price of the article is 400 rupees.