Bunuel
What is the profit percent if an article is sold without any discount on the original selling price?
(1) If the article is sold at x% discount on the original selling price, there is x% profit.
(2) If the article is sold at \(\frac{5x}{4}\)% discount on the original selling price, there is \(\frac{x}{2}\)% profit.
Question: Profit Percentage = ?Statement 1: If the article is sold at x% discount on the original selling price, there is x% profit.
SP*(1- x/100) = CP (1+ x/100)----(1)
x is unknown hence
NOT SUFFICIENT
Statement 2: If the article is sold at \(\frac{5x}{4}\)% discount on the original selling price, there is \(\frac{x}{2}\)% profit.
SP*(1- 5x/400) = CP (1+ x/200)----(2)
x is unknown hence
NOT SUFFICIENT
Combining the statementsDivide equation (1) by Equation (2)
We are left with only one equation in terms of x hence we have the value of x
hence
SUFFICIENT
Answer: Option C