**Solution:**

Let's assume the cost price of the article is C.

Given that the selling price of the article is 4/3 of its cost price.

Therefore, the selling price (S) = (4/3) * C

**Calculating Profit:**

Profit is defined as the difference between the selling price and the cost price.

Profit (P) = Selling Price (S) - Cost Price (C)

P = (4/3) * C - C

P = (4C/3) - (3C/3)

P = (4C - 3C) / 3

P = C / 3

**Calculating Profit Percentage:**

Profit percentage is calculated by dividing the profit by the cost price and multiplying by 100.

Profit Percentage = (Profit / Cost Price) * 100

Profit Percentage = (C / 3) / C * 100

Profit Percentage = (1/3) * 100

Profit Percentage = 33.33%

Therefore, the profit percentage is 33.33%.

**Explanation:**

To find the profit percentage, we need to calculate the profit first. The profit is the difference between the selling price and the cost price.

In this case, the selling price is given as 4/3 times the cost price. So, we can calculate the profit by subtracting the cost price from the selling price.

After calculating the profit, we can find the profit percentage by dividing the profit by the cost price and multiplying by 100.

In this problem, we assumed the cost price as C, but the actual value of C is not given. So, the profit percentage will always be 33.33% regardless of the value of the cost price.

Hence, the profit percentage is 33.33%.

C.P = x

S.P = 4x/3

Profit = S.P - C.P = 4x/3-x = x/3

P% = Profit × 100/C.P

= x/3 × 100/x

= 100/3

answer is = 33.33%