Math, asked by gunjandange121, 9 months ago

* 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.


by AP​

Answers

Answered by deepalibhirud
0
Implies x=20 or x=-120
It cannot be in minus so the cost price of the toy is rs20


Hope this helps you


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Answered by varadad25
2

\large\boxed{\fcolorbox{blue}{yellow} {Answer}}

The cost price of the toy is ₹ 20.

\large\boxed{\fcolorbox{blue}{yellow} {Step - by - step explanation }}

S. P. of the toy = ₹ 24. [Given]

Let the C. P. of the toy be ₹ x.

.°. Gain % = x %

Gain % =

 \frac{sp \:  -  \: cp \: }{cp}   \times 100 \\  \\  =  >  \: x =  \frac{24 - x}{x}  \times 100

 =  >  {x}^{2}  + 100x - 2400 = 0 \\  =  >  {x}^{2}  + 120x - 20x - 2400 = 0 \\  =  > (x + 120) \: (x - 20) = 0 \\

.°. x + 120 = 0 or x - 20 = 0

=> x = - 120 or x = 20

As cost can't be negative,

.°. Cost price = x = ₹ 20.

Hope it helps!

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