A trader marks his goods at 40% above the cost price. He sells 70% of the goods at the marked price and the rest, he sells by allowing a 40% discount on the marked price. His percentage profit is:

Let the cost price of the article is x Rs.

So marked price of the article will be $$\dfrac{140x}{100}=1.4x$$

Let the total number of available article $$=100$$

As per the question

Sold price of the article of 70% of the total goods $$=70\times 1.4x=98x$$

And, 30% of the article sold at the discount of 40%, hence sold of the 30% of the goods $$=\dfrac{30\times 60\times 1.4x}{100}=25.2x$$

Hence, net earning by selling all the 100 goods $$=98x+25.2x=123.2x$$

The cost price of the 100 goods $$=100x$$

Hence, net profit $$=\dfrac{(123.2x -100x)\times 100}{100x}=23.2\%$$