Question

by selling an article for rupees 96 a man gains as much percent as its cost price .find the costprice of the article​

Answer 1

Answer:

Let the cost  price of  article be Rs x

Profit will also be x%

given, selling price isRs96

As per given problem,

Profitpercant=  

Costprice

Profit

​  

×100

x=  

x

Profit

​  

×100

⇒x  

2

=(Sellingprice−Costprice)×100

⇒x  

2

=(96−x)×100

⇒x  

2

+100x−9600=0

⇒x  

2

+160x−60x−9600=0

⇒x(x+160)−60(x+160)=0

⇒(x−60)(x+160)=0

x=60orx=−160

hence value of x will be 60 as it is positive number. cost of artice is Rs60

Cost of one dozen of such article will be (12*60)=Rs 720

Step-by-step explanation: