Ratio Matrix Mathematics Formula with example

mathematics formula

Ratio Matrix Mathematics Formula with example

Ratios: Properties and Types, Ratio Formula explained with Examples

Ratio Matrix Mathematics Formula with example 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.A ratio is a simple mathematical term used for comparing two or more quantities that are measured in the same units. 

For the 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-


Question 1: THE 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?


The ratio in which the profit to be divided is = 45

The profit for each of them:

A = 10000 x 26 = Rs. 3333.33

B = 10000 X 46= Rs. 6666.7

Question 2: If Rs 782 is to be divided in the ratio 6 : 8 : 9, then what value would the first share correspond to?

Solution: Consider a unit share to be equivalent to Rs x. Then the first share would be equivalent to Rs 6x. The second share ⇒ 8x. The third share ⇒ 9x. By common sense, the sum of all shares should be equal to the total amount. Thus

6x+8x+9x=78223x=782x=34Clearly then, the value of the first share ⇒ Rs 34*6 ⇒ Rs 204

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