A person sells an article at three fourth of its list price and makes a loss…
2024
A person sells an article at three fourth of its list price and makes a loss of 10% . Find the profit percentage if he sells at the list price .
- A.
20%
- B.
25%
- C.
15%
- D.
18%
Attempted by 11 students.
Show answer & explanation
Correct answer: A
Answer: 20%
Let the cost price be x and the list price be y.
Selling at three-fourth of the list price gives a loss of 10%, so (3/4)·y = 0.9·x.
Solve for y in terms of x: y = (0.9·x)·(4/3) = 6/5·x.
Profit when sold at the list price = (y − x)/x = (6/5 − 1) = 1/5 = 0.20 = 20%.
Therefore, the profit percentage at the list price is 20%.