### A trader sells his goods at a discount 20%. He still makes a profit of 25%. If he sells the goods at the marked price only, his profit will be:

A. 56.25% B. 25.56% C. 50.25% D. 54.25% Answer: Option A
Let the marked price = Rs. 100 Then, SP = 100 – 20% of 100 = Rs. 80 Profit = 25% Let His CP = X SP = 80 X + 25% of X = 80 Hence, X $=\text { Rs. } \frac{100 \times 80}{125}=\text { Rs. } 64$ CP = Rs. 64 Profit after selling on marked price = 100 – 64 = Rs. 36 % gain = $\large\frac{36 \times 100}{64}$ = 56.25%