Two articles were bought at Rs. 300 each. After selling these articles, the profit percentage earned on the first article is equal to the loss percentage that occurred in the second article. If the difference between the selling price of both the articles is Rs. 150. Find the profit percent or loss percentage on which he sells both articles.?

Option 1 : 25%

Shortcut Trick

As loss percentage = profit percentage let us use the options to solve the question.

Option 1:

SP1 = 300 × 125% = Rs. 375 

SP2 = 300 × 75% = Rs. 225

SP1 - SP2 = 375 - 225 = 150

∴ Profit percent  or loss percent = 25%

Given:

CP of the article = Rs. 300

If profit and loss percentage same 

Calculation:

Let profit or loss percentage be x%

SP of the first article = 300 + x% of 300 = 300 + 3x

SP of the second article = 300 – x% of 300 = 300 - 3x

According to the question

300 + 3x – (300 – 3x) = 150

6x = 150

⇒ x = 25%

∴ Profit percent  or loss percent = 25%