Question

What is 35% of 60?

Answer 1

Hint: Assume that 35% of 60 is equal to x. Now, convert 35% into fraction by dividing it with 100 and removing the percentage sign. Take the product of this fraction with 60 and equate it with x to form a linear equation in x. Solve for the value of x to get the answer.

Complete step by step answer:
Here we have been asked to find the value of 35% of 60. But first we need to understand the meaning of the term ‘percentage’.
In mathematics, percentage represents a number or ratio as a fraction of 100. For example: if we write 10% then we mean 10 parts of something in its 100 parts. To change a percentage into fraction we divide the given number by 100 and remove the percentage sign.
Now let us come to the question. We have been asked to determine the value of 35% of 60. Here 35% means 35 parts in 100 parts. So removing the percentage sign and dividing with 100 to get the fractional form we have,
$\Rightarrow 35\mathrm{\%}={\displaystyle \frac{35}{100}}$
According to the question we must have,
$\Rightarrow {\displaystyle \frac{35}{100}}\times 60=x$
Cancelling the common factors and simplifying the relation for the value of x we get,
$$\therefore x=21$$

Hence, 35% of 60 is 21.

Note: You must remember the basic definition of percentage to solve the above question. Note that the term ‘of’ in mathematics denotes multiplication. If we have to convert a decimal or fraction into the percentage then we multiply it with 100 and include a percentage sign. We know that percentage is a fraction multiplied with 100, so it is dimensionless in nature. It means percentage has no units and is a pure number.