Question

while selling an article for RS 264 the profit percentage equal the cost price of the article in rupees find the cost price of article

Answer 1

264 rs
profit% =Cp
let artical price be x
nd gain =y

so x=y
si let it be 2 y
2y= 264
y= 132.


so, cp=120
nd profit% =120%
seller will sell it at 264.

Answer 2

The cost price of the article = Rs. 120

Given :

While selling an article for Rs. 264 the profit percentage equal the cost price of the article in rupees

To find :

The cost price of the article

Solution :

Step 1 of 2 :

Form the equation to find the cost price of the article

Let cost price of the article = Rs. C

Now it is given that selling an article for Rs. 264 the profit percentage equal the cost price of the article in rupees

By the given condition

$\displaystyle \sf{ C + \bigg(C \times \frac{C}{100} \bigg) } = 264$

Step 2 of 2 :

Calculate the cost price of the article

$\displaystyle \sf{ C + \bigg(C \times \frac{C}{100} \bigg) } = 264$

$\displaystyle \sf{ \implies C + \frac{{C}^{2} }{100} } = 264$

$\displaystyle \sf \implies {C}^{2} + 100C - 26400 = 0$

$\displaystyle \sf \implies {C}^{2} + (220 - 120)C - 26400 = 0$

$\displaystyle \sf \implies {C}^{2} + 220 C- 120C - 26400 = 0$

$\displaystyle \sf \implies C( C + 220) - 120(C + 220)= 0$

$\displaystyle \sf \implies ( C + 220) (C - 120)= 0$

C + 220 = 0 gives C = - 220

C - 120 = 0 gives C = 120

Since cost price of the article can not be negative

∴ C ≠ - 220

∴ C = 120

Hence cost price of the article = Rs. 120

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ THE COST PRICE OF A PEN IS RS 250, IT WAS SOLD AT A LOSS OF 15%.THEN THE SELLING PRICE OF THE PEN IS

https://brainly.in/question/33206866

2. By selling an article for Rs 50 a shopkeeper gains Rs 10.His gain percent is_______

https://brainly.in/question/2176449

#SPJ3