Ratio Formula

When we compare the relationship between two numbers dealing with a kind, then we use the ratio formula. It is denoted as a separation between the number with a colon (:). Sometimes a division sign is also used to express ratios.

For example, we are making a cake, then the recipe sometimes says to mix flour to water in the ratio 2 part 1. That means if you using 2 cups of flour then mix it with 1 cup of water.

Both the numbers should be non-zero in order to make a meaning out of the comparison. Some ratios are denoted in percentages and decimals as well.

The ratio formula is

\[\large a:b\Rightarrow \frac{a}{b}\]

Solved example

Question: A and B went into partnership and started a business. They agreed to dived the profit in the ratio of 2 : 4. What is their part of profit at the end of the financial year, if they made Rs. 10,000 in profits?

Solution:

The ratio in which the profit to be divided is = $\frac{4}{5}$

The profit for each of them:

A = 10000 x $\frac{2}{6}$ = Rs. 3333.33

B = 10000 X $\frac{4}{6}$= Rs. 6666.67

More topics in Ratio Formula
Proportion Formula Ratio Analysis Formula

Practise This Question

Match the following:

(i)Can have variable composition of constituent elements(A) Compound(ii)    is new substance formed due to reaction of two constituent elements(B) Mixture(iii)Constituent elements can be separated easily(C)Element(iv)Can be separated only by chemical or electrochemical reactions(v)Composition is always fixed(vi)Shows properties of constituent elements 
The correct pairs are:-