Last year, the Corner Stone Cafe sold $1,000$ bagels for a retail price of $$1\mathrm{.}00.$ This year, it raised the price to $$1\mathrm{.}25$ and sold $850$ bagels. Based on this data, what is the price elasticity coefficient for this item?

Group of answer choices

$1\mathrm{.}20$

$1\mathrm{.}67$

$0\mathrm{.}60$

$0\mathrm{.}20$