Question

In a school the total number of students is 3000 out of which 2000 are boys remaining are girls. Ratio of girls to boys is
(a) 2 : 1
(b) 1 : 3
(c) 1 : 2
(d) 3 : 1

Answer 1

Hint: To solve this question first of all we will define what is a ratio and various terms of the ratio. The total number of students in the school are given to us. We shall find the number of girls as the difference of the total number of students in the school and total number of boys in the school. As soon as we find the number of girls, we can find the ratio by dividing the number of girls in the school by the number of boys in the school and reducing it to the simplest form in fraction.

Complete step by step answer:
In mathematics, ratio is used to define a relation between two quantitative values and express the other in the form of others. Therefore, if a and b are two quantitative values, then the ratio is written as a : b.
While writing the ratio of two quantities a and b, they must be in simplest fraction, i.e. if a = k(c) and b = k(d), then the ratio of a and b will be k(c) : k(d), which is simplified as c : d. Thus, ratio of a and b can also be written as $\dfrac{a}{b}$.
It is given to us that the total number of students in the school is 3000. It is also given that the number of boys in the school is 2000.
Therefore, the number of girls will be given as the difference of total number of students and number of boys.
$\Rightarrow $ Number of girls = 3000 – 2000
$\Rightarrow $ Number of girls = 1000
Therefore, the ratio of number of girls to number of boys will be given as $\dfrac{girls}{boys}$
$\Rightarrow $ ratio = $\dfrac{1000}{2000}=\dfrac{1}{2}$
Therefore the ratio of girls to boys is 1 : 2.

So, the correct answer is “Option C”.

Note: The numerator of the ratio is called antecedent whereas the denominator is called consequent. If a : b is a ratio, then a is the antecedent and b is the consequent.