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Uses of Ratio:
Ratio is used for calculating continued ratio, proportion, rates, percentage as well as continued proportion. Ratio can also be used for dividing the profit or amount between two or more people.
For this we have the following process:
- First, we find sum of given ratios.
- Share can be divided by the following formula.
Share of a person= (given amount) (Ratio/Sum of ratios)
Continued Ratio:
So far, we have learnt the method of comparing two quantities of the same kind. But there may be the situation when we have to compare more than two quantities, which are in a continued ratio.
e.g. Suppose that Rs. 74000 are to be divided among three friends A, B, C such that
A : B = 4 : 5 and B : C = 3 : 2
Sum of ratio = 12 + 15 + 10 = 37
Share of A =  x 74000 = 12 x 2000 = 24000
Share of B =  x 74000 = 15 x 2000 = 30000
Share of C =  x 74000 = 10 x 2000 = 20000
Example:
Divide 60000 in ratio 5 : 7
Solution:
Let A and B be two persons having ratio of share 5 : 7
Sum of ratios = 5 + 7 = 12
Share of A =  x 60000 = 25000
Share of B =  x 60000 = 35000
Example:
Three partners invested Rs. 12500, 9000 and 7500 respectively. If the total profit earned Rs. 5800, how much profit each partner will receive.
Solution:
Let A, B and C be three partners
A invested = 12500
B invested = 9000
C invested = 7500
Profit = 5800
Ratio among their investments is
Sum of ratios = 25 + 18 + 15 = 58
Share of A =  x 5800 = 2500
Share of B =  x 5800 = 1800
Share of C =  x 5800 = 1500
Example:
A profit of Rs. 8920 is to be divided among four persons in the ratios 5 : 9 : 11 : 15 respectively. How much does partner get?
Solution:
Given Profit = 8920
Ratio between Share = 5 : 9 : 11 : 15
Sum of ratios = 5 + 9 + 11 + 15 = 40
1st Partner's Share =  x 8920 = 1115
2nd Partner's Share =  x 8920 = 2007
3rd Partner's Share =  x 8920 = 2453
4th Partner's Share =  x 8920 = 3345
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