​If Naman had purchased 25 articles for ₹22 and sold all the articles at the rate of 22 for ₹25, then find his approximate profit percentage. ​

Correct option is D

Given:

Naman purchased 25 articles for ₹22.

Naman sold 22 articles for ₹25.

Formula Used:

Profit Percentage = $$\frac{\text{Profit}}{\text{Cost Price}} \times 100$$

Profit Percentage = $$\frac{SP - CP}{CP} \times 100$$​​

Solution:

Naman purchased 25 articles for ₹22, so the cost price per article is:

CP = $$\frac{22}{25} = ₹0.88 \, \text{per article}$$​​

Naman sold 22 articles for ₹25, so the selling price per article is:

SP = $$\frac{25}{22} = ₹1.136$$  per article​

Now, calculating the profit per article:

Profit = SP - CP = 1.136 - 0.88 = ₹0.256

Now, calculating the profit percentage:

Profit Percentage = $$\frac{0.256}{0.88} \times 100 = 29.1\%$$​​

Thus, the correct option is (d) 29.1%

Alternate Method:

Since, Number should be same.

Profit Percentage = $$\frac{141}{484} \times 100\%$$ = 29.01%