Ratio Matrix Mathematics Formula with example
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
–Clearly then, the value of the first share ⇒ Rs 34*6 ⇒ Rs 204