# Math Help - Awkward percentages question

1. ## Awkward percentages question

A shop reduces the price of its dresses by 30%.
As a result it sells 60% more dresses than last month.

Calculate the percentage increase in its takings.

2. Let $n$ be the number of dresses.
x be the cost of the dress.

Last months takings was number of dresses multiplied by the cost of the dress which is $nx$

This month the dress has been lowered by $30$% so $x$ is now $0.7x$
And they sold $60$% more so $n$ becomes $n(1 + 0.6)$

So the takings this month is $1.6n$ multiplied by $0.7x$ which is $1.12nx$ which is a $12$% increase.