Question:
Rajeeta purchased a set of cosmetics. She paid Rs 165 for it including VAT. If the rate of VAT is 10%, find the sale price of the set.
Solution:
Let the sale price of the set be Rs. $x$
Given that the VAT charged is $10 \%$.
Cost of the set $=x+10 \%$ of $x$
$165=x+0.10 x$
$165=1.10 x$
$x=\frac{165}{1.10}$
$x=R s .150$
Thus, the sale price of the set is Rs. 150 .