Question

A dealer sells a toy for
24 and gains as much percent as the cost
price of the toy. Find the cost price of the toy.​

Answer 1

Answer:

Let the cost price of the toy be ₹ x.

Gain =  x %

Gain(profit) =₹ (x × x/100)

Gain= ₹ x²/100

SP = C.P + gain

24 = x  + x²/100      [given, S.P= ₹ 24]

(100x + x² /100) =24

100x + x² = 24×100

x² +100x = 2400

x² +100x - 2400= 0

x² +120x -20x -2400= 0

x(x + 120) -20(x + 120)= 0

(x -20) (x +120)= 0

(x -20)  = 0   or    (x +120)= 0

x = 20    or    x= -120

Cost of toy  can't be negative.So x = 20.