(i)
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.
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Answered by
4
The cost price of the toy is ₹ 20.
S. P. of the toy = ₹ 24. [Given]
Let the C. P. of the toy be ₹ x.
.°. Gain % = x %
Gain % =
.°. x + 120 = 0 or x - 20 = 0
=> x = - 120 or x = 20
As cost can't be negative,
.°. Cost price = x = ₹ 20.
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Answered by
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.
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