Question

If $37\% $ of a number is $990.86$. What will be approximately $19\% $ of that number ?
(A) 600
(B) 500
(C) 700
(D) 550

Answer 1

Hint: Percent - Percent means hundredths or per hundred and is written with the symbol, $\% $ Percent is a ratio were we compare numbers to 100 which means that $1\% $ is $\dfrac{1}{{100}}$.
Like $\dfrac{1}{2}$ can be written as $\dfrac{1}{2} \times 100 = 50\% $
or
$25\% $ can be written as $\dfrac{{25}}{{100}} = \dfrac{1}{4}$

Complete step-by-step answer:
In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol "%" or simply as "percent" or "pct." For example, 35% is equivalent to the decimal 0.35, or the fraction. 35. 100.
Let the number be x, then according to question
$37\% $ of $x = 990.86$
$\dfrac{{37}}{{100}} \times x = 990.86$
$x = \dfrac{{990.86 \times 100}}{{37}}$
$19\% $ of $x = ?$
$ = \dfrac{{19}}{{100}} \times \dfrac{{990.86 \times 100}}{{37}}$
$ = \dfrac{{18,826.34}}{{37}} = 508.32$
So, approximate value of $19\% $ of $x = 500$
So, the correct answer is “Option B”.

Note: Here we will discuss other options.
Option A is 600, our answer $508.82$ is very far away from 600 so it is an incorrect option.
If our answer was greater than 550 then this option is correct.
Option B is 500, as $508.82$ is less than 550 so its approximation is 500.
Option C is incorrect as it is far away from $508.82$
Not the last option i.e., option D is 550. If 500 was not there in options then only we can opt for 550.
But now it is incorrect as 500 is nearer.