Question

A dealer sells a toy for rs 24 and gains as much percent as the cost price of the toy find the cost price of toy

Answer 1

Answer:

cost price of the toy is 12 rs

Step-by-step explanation:

selling price of the toy 24rs

gain = cost price of the toy

we know

gain = selling price- cost price

cost price= 24- cost price

cost price+ cost price=24

2 cost price=24

cost price= 24/2

cost price= 12

cost price of the toy is 12 rs

Answer 2

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.