A shopkeeper sold one-third of his articles at 5% profit. At what profit percent should he sell the remaining articles so that his overall gain is 15%A10%B20%C25%D30%

To solve this problem, we need to set up an equation that represents the total profit.

Let's denote:

• the total number of articles as 'a'
• the profit percent for the remaining articles as 'x'

According to the problem, the shopkeeper sold one-third of his articles at a 5% profit. This means he sold a/3 articles at a 5% profit.

The remaining articles, which is 2a/3, were sold at an 'x' percent profit.

The overall gain from selling all the articles is 15%.

We can set up the following equation to represent this situation:

(a/3 * 5/100) + (2a/3 * x/100) = a * 15/100

Solving this equation for 'x' will give us the profit percent at which the shopkeeper should sell the remaining articles to achieve an overall gain of 15%.

Let's simplify the equation:

5/3 + 2x/3 = 15 2x/3 = 15 - 5/3 2x/3 = 10 2x = 30 x = 15

So, the shopkeeper should sell the remaining articles at a 15% profit to achieve an overall gain of 15%.

Therefore, the answer is A) 10%.