A man sells 36 bags for Rs 3600, which results in a 20% loss. How many bags must he sell for Rs 3200 to make a 60% profit?

Correct option is B

Given:
Number of bags initially sold = 36
Initial total selling price = Rs 3600
Initial loss percentage = 20%
Target total selling price = Rs 3200
Target profit percentage = 60%
Formula Used:
Cost Price = (Selling Price × 100) ÷ (100 - Loss Percentage)
New Selling Price = (Cost Price × (100 + Profit Percentage)) ÷ 100
Solution:
Find the initial selling price of one bag:
$$\frac{3600}{36}$$​ = 100
Calculate the cost price of one bag using the 20 percent loss:
$$\frac{100 × 100}{80}$$​ = 125
Calculate the required selling price of one bag to make a 60 percent profit:
$$\frac{125 × 160}{100}$$​ = 200
Determine the number of bags to sell for Rs 3200 at this new price:
$$\frac{3200}{200}$$​ = 16
Final Answer
So the correct answer is (b)