Question

can anyone solve this question​

Answer 1

Answer:

₹6

Step-by-step explanation:

sells at ₹24

gains 24% of the cost price of the toy.

therefore, 24 x 24/100 = 5.6 or 6(because decimal is more than .5)

cost price of the toy is ₹6

Answer 2

Answer:

₹20

Step-by-step explanation:

let 'x' be the cost price of the toy

profit made on the toy when sold at ₹24 is x%

Final cost = Cost Price * (1 + Profit%)

$24 = x(1+\frac{x}{100} )$

⇒ $24 = \frac{x(100+x)}{100}$

⇒ $2400 = x^{2} +100x$

⇒ $x^{2} +100x-2400 = 0$

Which is a quadratic eqution, which on solving gives us

⇒  $x^{2} +120x-20x-2400=0$

⇒ $x(x+120)-20(x+120)=0$

⇒ $x-20)(x+120)=0$

Hence $x=20$ or $x=-120$

But since we are dealing with costs, $-120$ is not possible

∴ The cost of the toy is ₹20