Question

A merchant marks his goods at Rs. 600 and allows a discount of 25%. If he still gain 12.5%, then the cost price of the article is:​

Answer 1

Answer:

SP= 900-900*25/100 = 900-225 = Rs.675

CP= 675- 675*12.5/100 = 675 - 84.375 = Rs.590.625

Answer 2

Given: A merchant marks his goods at Rs. 600 and allows a discount of 25%. If he still gain 12.5%.

To find: The cost price of the article.

Solution:

Let the cost price of the article be x. Now, since the merchant allows a discount of 25%, the selling price of the article can be calculated as follows.

$600 - (\frac{25}{100}*600) =450$

So, the profit earned by him can be written as follows.

$P = 450 - x$

Hence, the equation for profit percentage of the article can be written as follows.

$12.5 = \frac{450-x}{x} * 100$

On rearranging and calculating, the value of x is found to be

$x = 400$

Therefore, the cost price of the article is Rs. 400.