Question

Neha sells a cycle at Rs.171 and got a percentage of profit equal to the cost price of the watch. What is the cost price of the watch​

Answer 1

Answer:

150 is the cost price of cycle

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Answer 2

Answer:

cost price of watch = Rs. 90  

Step-by-step explanation:

Given,

selling price of watch= Rs. 171

Let's assume that cost price of watch be x

then, according to question percentage of profit is equal to the cost price of watch.

Hence, the profit percent = x percent

$So, the\ profit\ =\ \dfrac{x\times x}{100}\\\\=\dfrac{x^{2}}{100}$

Since, the selling price = cost price + profit

                                        $=>\ 171=x+\dfrac{x^{2}}{100}\\\\=>\ x^{2}+\ 100x-17100=0\\\\=>\ x=\ 90\ or\ -190$

but the cost must be always positive so the cost price of watch = Rs. 90