An item is sold for $108$ at a loss of $10 %$ . Its $C P$ is $. . . . . . . . . . . . .$

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Solution

Given,
The selling price of item, $S P$ $=$ $R s 108$ .
loss per cent , $l o s s %$ $=$ $10 %$
Cost price of the item, $C P$ $=$ $. . . . . . . . . . . . . . .$
Note :
We have the formula to find $C P$ , When $S P$ and $l o s s %$ is given ,
i.e. $C P$ $=$ $\frac{100}{100 - l o s s %} \times S P$ .
So,
$C P$ $=$ $\frac{100}{100 - 10} \times 108$
$C P$ $=$ $\frac{100}{90} \times 108$
$C P$ $=$ $\frac{10800}{90}$ ( divide $10800$ by $90$ , we get $120$ )
$C P$ $=$ $120$ .
Therefore, the answer for the given blank is $120$ .

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