Question

the cost prise of an object is numerically equal to its profit % and its selling price is 56.what is its cost price?

Answer 1

the cost price is Rs 40...refer to the inage for solution

Answer 2

Answer:

Rs. 40 is the cost price of an object.

Step-by-step explanation:

Cost price of an object is numerically equal to its profit % and its selling price is 56.

We need to find the Cost price?

According to the question,

Let the cost price of an object be x

Then profit% =x

We know that profit is given by $\mathbf{\frac{Selling\ Price\ -\ Cost\ Price}{Cost\ price}\times 100}$

x = $\frac{56\ -\ x}{x}\times 100$

Thus, it getting to be the Quadratic equation,

x² + 100x - 5600 = 0

x² + 140x - 40x - 5600 = 0

x(x + 140) - 40(x + 140) = 0

(x - 40) (x + 140) = 0

x = 40, x = -140

Therefore, The cost price of an object is  Rs.40