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

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

A. 45 : 56
B. 45 : 51
C. 47 : 56
D. 47 : 51

A. Rs. 2600
B. Rs. 2700
C. Rs. 2800
D. Rs. 3000

A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction:

A. A neither losses nor gains
B. A makes a profit of 11%
C. A makes a profit of 20%
D. B loses 20%