Question

a man sells a table for rupees 96 and gains as much as percent the cost of the table find the cost price of the table​

Answer 1

Answer:

Hi..!!

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

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Answer 2

Answer:

Let CP = x

Profit = x%

SP = 96

x = Profit/x ×100

x² = (96-x)100

x² +100x-9600 =0

x² +160x-60x -9600=0

(x+160) (x-60)

x= -160 × not possible.

So x = 60