Profit and Loss Practice Test 8

Let cost price of the article = Rs x
Selling price of the article = Rs 75
Profit = SP - CP = 75 - x
Cost price $=\frac{75-\mathit{x}}{\mathit{x}}\times 100$
${\mathit{x}}^2=7500-100\mathit{x}$
${\mathit{x}}^2+100\mathit{x}-7500=0$
$\left(\mathit{x}-50\right)\left(\mathit{x}+150\right)=0$
x - 50 = 0, or x + 150 = 0 is not possible
x = 50
So, the cost price of the article = Rs 50.