A shopkeeper marks his good 30% above cost price but allows 45% discount for cash.
Find his net loss percentage.

Correct option is D

​$$\textbf{Let the Cost Price (CP)} = ₹100 \\[10pt]\textbf{Marked Price (MP)} = CP + 30\% \text{ of CP} = 100 + \frac{30}{100} \times 100 = ₹130 \\[10pt]\textbf{Discount given} = 45\% \text{ of MP} = \frac{45}{100} \times 130 = ₹58.5 \\[10pt]\textbf{Selling Price (SP)} = MP - Discount = 130 - 58.5 = ₹71.5 \\[10pt]\textbf{Loss} = CP - SP = 100 - 71.5 = ₹28.5 \\[10pt]\textbf{Loss Percentage} = \frac{Loss}{CP} \times 100 = \frac{28.5}{100} \times 100 = \boxed{28.5\%}$$​​