Question

while selling a flower pot for rs 96, the profit in percentage is equal to its cost price in rupees. find the cost of flower pot

Answer 1

CP = x

SP = 96

 96 -  CP  x 100 = Profit Percentage

     CP

 96 - x     x 100 = x

     x

9600 - 100x = x²

x²  + 100x  - 9600 = 0

x² + 160x - 60x - 9600 = 0

x(x+160) - 60 (x + 160)

(x - 60) (x + 160)

x = 60 or -160

CP or profit can't be -ve numbers.

So Cost of flower pot = Rs.60

Answer 2

Answer:

Rs.67

Step-by-step explanation:

CP = x

SP = 96

96 -  CP  x 100 = Profit Percentage

    CP

96 - x     x 100 = x

    x

9600 - 100x = x²

x²  + 100x  - 9600 = 0

x² + 160x - 60x - 9600 = 0

x(x+160) - 60 (x + 160)

(x - 60) (x + 160)

x = 60 or -160

CP or profit can't be -ve numbers.

So Cost of flower pot = Rs.67