1. Katy invests $£2000$ in a savings account for $3$ years.

The account pays compound interest at an annual rate of

$2.5\%$ for the first year $x\%$ for the second year $x\%$ for the third year

There is a total amount of $£2124.46$ in the savings account at the end of $3$ years.

Work out the rate of interest in the second year.