A dealer sells his goods at 22% loss on cost price but uses 44% less weight. What is his percentage profit or loss?

Correct option is A

Given:

Loss on cost price = 22%

Weight used = 44% less 

Formula Used:

Effective Selling Price per unit = Cost Price per unit

Profit % = $$\frac{\text{Effective SP} - \text{CP}}{\text{CP}} \times 100$$​​

Solution:

Assume CP for 1 kg = Rs. 100

SP at 22% loss = Rs. 78

But he gives only 56% weight => 0.56 kg

SP per kg = $$\frac{78\times 100}{56} = \frac{975}7$$​​

Profit = $$\frac{975}7 - 100 = \frac{275}7$$​​

Profit % = $$\frac{275/7}{100} \times 100 = 39\frac{2}7\%$$​​