Question

Out of 5000 people in a village 4800 are literate. What is the percentage of literacy of the village?
A. 96%
B. 48%
C. 90%
D. 80%

Answer 1

Hint: We need to assume the percentage of literacy. We multiply 5000 with the percent value to find the value of 4800. We find the mathematical form and solve the equation to find the value of the assumed variable of percentage.

Complete step by step answer:
Out of 5000 people in a village 4800 are literate. We assume that x% is the literacy rate.
The fraction is the respective ratio of two numbers. We find the value of the numerator with respect to the denominator of the fraction.

In the case of percentage, we need to convert the denominator of the fraction into 100.
The numerator of the fraction with denominator being 100 will be the solution of the problem.Therefore, x% can be written as $\dfrac{x}{100}$. Now $x$ percent of 5000 is 4800.Forming the mathematical expression, we get
$5000\times \dfrac{x}{100}=4800$
We now solve the equation to get
$x=4800\times \dfrac{100}{5000}$
We complete the multiplication and get
$x=4800\times \dfrac{100}{5000} \\
\Rightarrow x=\dfrac{480}{5} \\
\therefore x=96$

Therefore, the literacy percentage is 96. The correct option is (A).

Note: The value of the fraction is actually the unitary value of $x$ out of 100.Therefore, in percentage value we got 96 as the percentage. Percentage deals with the ratio out of 100. The ratio value for both fraction and percentage is the same.