Question

Two numbers are respectively $30\%$ and $40\%$ less than a third number. What is the second number as a percentage of the first?

Answer 1

Two numbers are respectively 30% and 40% less than a third numbers

Let the third number be $=x$.

So, First no. $=x-30\%ofx=\frac{7x}{10}$

And, Second No. = $x-40\%ofx=\frac{8x}{10}$

Percent of second number less than of the first number =

$\frac{\frac{7x}{10}-\frac{6x}{10}}{\frac{7x}{10}}\ast 100=\frac{\frac{x}{10}}{\frac{7x}{10}}\ast 100=\frac{100}{7}=14.2857\approx 14.29\%$

Therefore,

Percent of second number is $14.29\%$ less of the first number. So

Percent second of the first $=100\%-14.29\%=85.71\%$