Question

The cost price of an article is Rs. x. Taking x% profit on it , it was sold for Rs. 24. Find the cost price of an article .​

Answer 1

Answer:

20

Step-by-step explanation:

I gave you the answer, But before I show you the entire process. I would rather love to see you do it yourself..

Also if still you struggle then here's the help

CP = SP - Profit

x =24 - Profit             [profit = $\frac{x}{100} * x$ = $\frac{x^{2} }{100}$ ]

x = 24 -  $\frac{x^{2} }{100}$

100x = 2400 - $x^{2}$

$x^{2}$ + 100x - 2400 = 0

Now Split the middle term,

$x^{2}$ - 20x + 120x - 2400 = 0

x(x - 20) + 120(x - 20)

(x + 120) ( x - 20)

⇒ x = -120 or 20

since currencies cannot be in negative. Hence CP = 20

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