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**If the profit per cent got on selling an article is numerically equal to its cost price in rupees and the selling price is Rs. 39, then cost price (in Rs.) will be:**

A. 20
B. 22
C. 28
D. 30
**Answer: Option D**

## Show Answer

Solution(By Apex Team)

SP = Rs. 39
CP = x(let)
Profit % = CP
$\begin{array}{l}\text{ or },\frac{39-x}{x}\times100=x\quad\left[\%\text{ profit }=\frac{\mathrm{SP}-\mathrm{CP}}{\mathrm{CP}}\right]\\
3900-100x=x^2\\
x^2+100-3900=0\end{array}$
x = 30 (we cannot take negative value of x)

## Related Questions on Profit and Loss

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