Question

99. Find out the sum whose 30% is 6-​

Answer 1

• As per the data given in the question, we have to determine the required number.

              Given data:- $30\%$ is $6.$

              To find:- find the value of $x.$

              Solution:-

• A percentage is a fraction of an amount expressed as a particular number of hundredths of that amount.

• It is denoted by $\% \cdot 1 \%$ means $\frac{1}{100} .$

• We are using the unitary method to calculate the percentage of numbers.

• Fractions can be converted into percentages and vice-versa.

            $\begin{array}{l}\frac{30}{100} \times x=6 \\30 x=600 \\x=\frac{600}{30} \\x=20\end{array}$

       Hence we will get the value $30\%$ of $6=20.$

Answer 2

As per the data given in the question,

We have to determine the sum whose 30% is 6.

So, let the sum be x.

So, Now the above expression can be written mathematically as,

$30\%\:of\:x = 6$

So, converting 30% into fraction by dividing it by 100.

We will get,

$\frac{30}{100}\times x = 6\\=>x =\frac{6\times 100}{30}\\=>x = \frac{600}{30} = \frac{60}{3}\\=>x = 20$

Hence, value of the number will be 20.