## Task 2 - 160722

A Horticultural Production Cooperative sold apples in the months of August to November. The price for $1 \mathrm{~kg}$ of apples was $20 \%$ lower in September than in August, and $20 \%$ higher in November than in September.

Were the apples cheaper, the same price, or more expensive in November compared to August?

If the price in November differed from that in August, specify by what percentage of the August price the November price differed.
The price for $1 \mathrm{~kg}$ of apples in August is $x$ marks, then it is in September $\left(x-\frac{1}{5}\right)$ marks $=\frac{4}{5} x$ marks. In November, the price was

$$
\frac{4}{5} x \text { marks }+\frac{1}{5} \cdot \frac{4}{5} x \text { marks }=\frac{24}{25} \text { marks }
$$

Since $\frac{24}{25} x < x$, the apples were cheaper in November than in August. From $x-\frac{24}{25} x=\frac{1}{25} x=\frac{4}{100} x$, it follows that the price of apples in November was $4\%$ lower than their price in August.