Mixture and Allegation Formulas

1. Allegation Method Formula

Allegation Rule = \frac{Difference between Mean Price and Lower Price}{Difference between Higher Price and Mean Price}

Find the ratio of mixing two ingredients using their prices and mean price.

Cost of Mixture = \frac{Cost of Ingredient 1 \times Quantity of Ingredient 1}{Quantity of Mixture} + \frac{Cost of Ingredient 2 \times Quantity of Ingredient 2}{Quantity of Mixture}

Calculate the cost of a mixture of two ingredients.

Quantity of First Ingredient = \frac{Difference between Mean Price and Cost of Second Ingredient}{Difference between Cost of First Ingredient and Cost of Second Ingredient}

Find the quantity of one ingredient in a mixture.

First Ingredient Quantity = \frac{Difference between Mean Price and Cost of Second Ingredient}{Difference between Cost of First Ingredient and Cost of Second Ingredient}

Calculate the quantity of ingredients in a three-component mixture.

Weighted Average Cost = \frac{Sum of (Cost × Quantity)}{Total Quantity}

Find the weighted average cost of a mixture.

Cost of Mixture = \frac{Cost of Ingredient 1 \times Quantity of Ingredient 1 + Cost of Ingredient 2 \times Quantity of Ingredient 2 + Cost of Ingredient 3 \times Quantity of Ingredient 3}{Total Quantity}

Calculate the cost of a three-ingredient mixture.