Question

A person, by selling an article at half of the list price incurs a loss of 30%. Find the profit percentage if he sells at the list price?​

Answer 1

Answer:

if he sells at half of the list prize loss= 30%

so total least prize is 60%

40 % profit

Answer 2

Given:

A person, by selling an article at half of the list price incurs a loss of 30%.

To find:

What will be the profit percentage, if the person sells the article at the list price.

Solution:

• Let, the original price of the article is x rs.
• And the listed price is y rs.
• So, when the person sells the article at half of the list price the selling price is= $\frac{y}{2}$ rs.
• So the loss of the person= 30% of x.
• So, the selling price of the article is =$1-x\frac{30}{100}=\frac{7x}{10}$
• According to the given condition,
• $\frac{y}{2}=\frac{7x}{10}\\or, y=\frac{7x}{5}$
• Now if the person sells the article at list price then the profit will be:
• $\frac{y-x}{x}$×100 = $\frac{\frac{7x}{5}-x }{x}*100= \frac{2}{5}*100=2*20=40$%

Final answer:

The profit percentage is 40% if he sells at the list price.