A merchant marks the price of his articles 30% above the cost price. He gives some discount on it and earns a profit of 13.75%. What is the discount percentage?
Let cost price = Rs. $$100x$$
Profit % = 13.75%
=> Selling price = $$100x+(\frac{13.75}{100}\times100x)=Rs.$$ $$113.75x$$
Also, marked price =Â $$100x+(\frac{30}{100}\times100x)=Rs.$$ $$130x$$
$$\therefore$$ Discount % = $$\frac{(130x-113.75x)}{130x}\times100$$
= $$\frac{162.5}{13}=12.5\%$$
=> Ans - (A)
Create a FREE account and get:
