Question

$1.14$ expressed as a percent of $1.9$ is
$\begin{align}
  & A)6\% \\
 & B)10\% \\
 & C)60\% \\
 & D)90\% \\
\end{align}$

Answer 1

Hint: In this question, we have to express a number into the percentage of another number. Thus, we will use the percentage formula to get the solution. As we know, the percentage is expressed in the form of 100. So, we will form a fraction of the given number, where the numerator is the number to be expressed and the denominator is the number in which the numerator is expressed as a percent. After that, we will multiply the fraction by 100 and make the necessary changes, to get the solution for the problem.

Complete step by step answer:
According to the question, we have to find the percentage of a number.
So, we will use the percentage formula to get the solution.
The statement given to us is $1.14$ expressed as a percent of $1.9$ --- (1)
So, now we will first form the fraction of the statement (1), where the numerator is the number to be expressed and the denominator is the number in which the numerator is expressed as a percent, therefore we get
$\dfrac{1.14}{1.9}$
Now, we will remove the decimal point from the above fraction, we get
$\dfrac{114}{100}.\dfrac{10}{19}$
As we see above, 1.14 is expressed as $\dfrac{114}{100}$ and 1.9 is expressed as $\dfrac{10}{19}$
Now, we will multiply 100 in the above fractional numbers, thus we will now put the percentage, we get
$\dfrac{114}{100}.\dfrac{10}{19}.100\%$
On further simplification, we get
$\dfrac{114}{100}.\dfrac{1000}{19}\%$
On further simplification, we get
$\dfrac{114\times 10}{19}\%$
Now, we will find the factors of the numerator of the above fractional number, we get
$\begin{align}
  & 114=2\times 3\times 19 \\
 & 114=6\times 19 \\
\end{align}$
Thus, we will substitute the above value in the fractional number, we get
$\dfrac{6\times 19\times 10}{19}\%$
As we know, the same term in the numerator and the denominator cancel out with the quotient 1, we get
$6\times 10\%$
Now, on further simplification, we get
$60\%$

So, the correct answer is “Option C”.

Note: While solving this problem, do mention all the steps properly to avoid confusion and mathematical error. Do not forget to put the percentage sign in your answer.