Question

find the whole quantity if 60 percent of it 284​

Answer 1

To find : whole quantity

Given  : $60$ percent of whole quantity is $284$ .

Solution :

• A percentage is a fraction of an amount expressed as a particular number of hundredths of that amount.
• It is denoted by means % .  
• 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 , whole quantity be $x$ .
• Then , as per given condition we have , $60 \ \%\ of \ x = 284$ solving it , we get ,

       $60 \ \% \times x = 284\\\\\frac{60}{100} \times x = 284 \\\\ x =\frac{284 \times 10}{6} \\\\ x = \frac{1420}{3} \\\\x = 473 .33$

Hence, the whole quantity is $473.33$ .