Question

Find the whole quantity, if \[70\% \] of it is \[14\] min.

Answer 1

Hint: Assuming the whole quantity as $x$ then calculating its \[70\% \] to get the value of $x$.

Formula used: $Percentage = \dfrac{{value}}{{total\,\,value}} \times 100$.

Complete step by step answer:
(1) Let the whole quantity be $x$ .
(2) As per given,\[70\% \] of the whole is $14$ min.
\[\;\therefore 70\% \] of \[\left( x \right) = 14\]
Convert “of” into the sign of multiplication $( \times )$
\[ \Rightarrow \,\dfrac{{70}}{{100}} \times (x) = 14\]
\[ \Rightarrow \,x = \dfrac{{14 \times 100}}{{70}}\]
\[ \Rightarrow \,x = 2 \times 10\]
\[ \Rightarrow x = 20\,\min utes\]

From above we see that the whole quantity is $20$ minutes.

Note: A percentage is a number or ratio expressed as a dfraction of\[100\] . It is often denoted using the percent sign “%”, although the abbreviations “pct” and sometimes “pc” are also used.