Question

A man sells a table for Rs.96 and gains as much as percent as the cost of the table. Find the cost price of the table?

Answer 1

Answer:

Step-by-step explanation:

Selling price= 96

If cost is 100% than the gain also similer 100%

100%+100%=96

200%=96

200x/100=96

2x=96

X=96/2=48 ans...

Answer 2

Answer:

Step-by-step explanation:

Let the cost  price of  article be Rs x

Profit will also be x%

given, selling price is Rs.96

As per given problem,

Profit percant= Profit/Costprice   × 100

x=  Profit/x  × 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=60 or x=−160

cost price=60