- If the gradients are mixed in a ratio, then:

We represent it as:

Therefore,

Cheaper Quantity: Dearer Quantity = (d-m) : (m-c)

Here, Mean Price is the cost price of a unit quantity of the mixture. - Consider a container contain p units, from which q units are taken out and replaced it with water. After n operations, the quantity of pure liquid = p(1-q/p)
^{n} - There are n vessels of sizes c
_{1}, c_{2}, ....., c_{n}filled with mixtures of liquids A and B in the ratio a_{1}:b_{1}:a_{2}:b_{2}, ....., a_{n}: b_{n}, respectively. If the contents of all the vessels are poured into a single large vessel, then,

- In order to find the quantity of a product added, we use the formula: