Question

An article was sold for rs.144.If the percentage of profit was numerically equal to the cp,the cost of the article was

Answer 1

Step-by-step explanation:

let x be the cost price. so the profit percent is x too

Selling price = x + (x*x)/100

144 = x+ x*x/100

x2+100x-14400 =0

x =-180 or x= 80

So CP =80.

Answer 2

Answer: Rs. 80

Step-by-step explanation:

Let the Cost price ; CP= Rs. x

Now as the profit is equal to CP

Therefore Profit = x %

Given SP = Rs. 144

Now

$Profit \%= \dfrac{Profit }{CP} \times 100\\\\\Rightarrow Profit \%= \dfrac{SP-CP }{CP } \times 100\\\\\Rightarrow x= \dfrac{144-x}{x} \times 100 \\\\\Rightarrow x^2= 14400-100x\\\\\Rightarrow x^2= 100x-14400=0 \\\\\Rightarrow x^2+ 180x-80x-14400 = 0\\\\\Rightarrow x= -180 \text { or } x= 80$

Hence,the cost price of article is Rs. 80