If an item is sold for $R s 540$ at a profit of $20 %$ , then its $C P$ is …………

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Solution

Given ,
Selling price of the item, $S P$ $=$ $R s 540$
profit per cent , $p r o f i t %$ $=$ $20 %$
Cost price of the item, $C P$ $=$ $. . . . . . . . . . . . . . .$
Note :
We have the formula to find $C P$ , When $S P$ and $p r o f i t %$ is given ,
i.e. $C P$ $=$ $\frac{100}{100 + p r o f i t %} \times S P$ .
So,
$C P$ $=$ $\frac{100}{100 + 20} \times 540$
$C P$ $=$ $\frac{100}{120} \times 540$
$C P$ $=$ $\frac{54000}{120}$ ( divide $54000$ by $120$ , we get $450$ )6

$C P$ $=$ $450$ .

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