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Question

$$70\%$$ of the students in a school are boys and the number of girls is $$504$$ find the number of boys in the school.


Solution

% of  boys + % of girls = $$ 100 $$

            70 + % of girls = $$100$$ 

                   % of girls = $$30$$
and, 
number of girls $$=\dfrac{\% \, of \, girls}{100}\times $$ total students 

                  $$504=\dfrac{30}{100}\times $$ total students 

$$\Rightarrow $$ total students $$=1680 $$

$$\therefore $$ number of boys $$=$$ total students $$-$$ no. of girls
                               $$=1680-540 $$
                               $$ =1176 $$

Maths

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