In a parcel of amethysts weighing 1,542.00 carats with a cost of $0.75 per carat, what is the unit price if it contains 1,000 stones?

To determine the unit price of the amethysts, one should calculate the total cost of the entire parcel and then divide it by the number of stones.

The parcel weighs 1,542.00 carats, and the cost per carat is $0.75. The total cost can be calculated by multiplying the weight of the parcel by the cost per carat:

Total cost = Weight in carats × Cost per carat = 1,542.00 carats × $0.75 = $1,156.50.

Next, to find the unit price per stone, divide the total cost by the number of stones in the parcel:

Unit price = Total cost ÷ Number of stones = $1,156.50 ÷ 1,000 stones = $1.1565.

Rounding this value gives approximately $1.16 per stone. This value accurately reflects the cost distribution across each individual stone, reinforcing the concept of unit pricing in a parcel. Hence, $1.16 is the correct unit price when considering the division of the total cost by the number of stones.