What is the length of AC?

In comparing two quantities of the same kind, the fraction, which expresses by how many times the first quantity is greater or smaller than the second quantity is called the ‘ratio’ between the first quantity and the second quantity. The mathematical symbol of ratio is ‘:‘ It is written as say, 1:4 and read as 1 “is to” 4. The first of the two quantities forming a ratio is called the antecedent and the second is called the consequent of the ratio. The two together are called the terms of the ratio. Points to Note: 1. Since the q…

When the values of two ratios are equal, they are said to be in ‘proportion’ and one is called proportional to the other.

Four quantities are said to be in proportion or are proportional when the ratio of the first to the second is equal to the ratio of the third to the fourth.

1. If and , find i) and ii) Solution: i. ii. 2. If , find $ latex A : B : C $ Solution: 3. Find the fourth proportional to . Solution: Let the fourth proportion be ‘‘. Here, Hence, . the fourth proportion is . 4. In a continued proportion of four quantities, the first and the second proportional are . Find the fourth quantity. Solution: The four quantities are in continued proportion. Now, , 5. The ratio of daily wages of two workers is and one gets daily more than the other. What are their daily wages? Solution: Let one worker get and the oth…

Find the third proportional of and .

The ratio of two numbers is and their L.C.M. is . Find the numbers and their H.C.F.

A lantern factory received an order to supply pieces of lantern every day. The ratio of number of workers and the number of lanterns they produce everyday is . How many workers should be employed t...