Question

What percent is 40 % of 120 % of x?

Answer 1

Given,

40 % of 120 % of x

To Find,

The value of 40 % of 120 % of x =?

Solution,

We can solve the question as follows:
It is given to us that we have to find the percent of 40 % of 120 % of x where x is an unknown quantity.

We know that to write a percentage in decimal or fraction, we have to divide it by 100.

Therefore, 40% and 120% can be written as:

$40$% $= \frac{40}{100}$

$120$% $= \frac{120}{100}$

Now, to find the 40% of 120% of x, we will first find 120% of x.

120% of x $= \frac{120}{100} *x$

Now, we will find the 40% of 120% of x.

40% of 120% of x  $= \frac{40}{100} *\frac{120}{100}*x$

                               $= \frac{2}{5} *\frac{6}{5} *x$

                               $= \frac{12}{25} x$

                               $= 0.48x$

Now, to convert this to a percentage, we multiply it by 100.

$= 0.48*100$

$= 48$%

Hence, 48% is 40% of 120% of x.