Question

find the whole quatity if 60% is 540​

Answer 1

According to given question we are asked to find the original number of whose $60\ \% \ is\ 540$.

To find : whole quantity i.e.  value of $x$

Given : $60\ \% \ of x \ = 540$

• As we know that percentage is a any number expressed as fraction of 100.
• we write $60\ \% \ as\ \frac{60}{100}$
• To find value of $x$ we write  $60\ \% \ of x \ = 540$  as :

              $\frac{60}{100} \times x = 540$

• now ,to find $x$ we we perform simple multiplication and division by  leaving variable one LHS and transposing   $\frac{60}{100}$ to RHS.
• We get , $x = 540\times \frac{100}{60}$  
• now , on solving $x = 900$

Hence the whole quantity is $900$ of $60\ \% \ is\ 540$.

Answer 2

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

        Given data:-$60\%is 540.$.

         To find :- Whole quantity $60\%is 540.$

        Solution:-

• As we know that percentage is any number expressed as a fraction of 100 .
• A percentage is a fraction of an amount expressed as a particular number of hundredths of that amount.
• It is denoted by$\%.$ $1\%$  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.
• Percentages are reversible. For example, $30\%$ of $40$ is the same as  $40\%$of $30$.
• Let the number be$x$ .

              $\frac{60}{100} \times x=540.\\x=540\times\frac{100}{60} \\x=900.$

     Hence the value will be $900.$