Question

John spent 1/3 of his monthly salary on rent, 1/4 on food, 1/6 on travelling and 1/8 on clothes. If he has $1 250 left, what is his salary?​

Answer 1

$\huge\sf{Answer:-}$

$<font color="blue"><b>$

Total spent

$\frac{1}{3}+\frac{1}{4}+\frac{1}{6}\frac{1}{8}$

$\frac{8+6+4+3}{24}$

$\frac{21}{24}$

So the total percentage of his expences come down to:

21/24

That what remains is equal to $1250:

3/24∗(Salary)=1250.

Salary=1250∗24/3=10000.

Then we have to calculate for taxes, where the rates in Holland are 52% if you're earning over some amount of 66.422 annually, which translates to 72.921,39 as of the current rates. Thus the total salary becomes

10000/0.48=20833,33 per month.

Answer 2

$\huge\sf\underline{♡Solution♡}$


Let the salary of John be 'x'

Monthly salary spent on rent= 1/3 of x

=x/3

Remaining salary:-

$= x - \frac{x}{3}$

$= \frac{3x - x}{3}$
$= \frac{2x}{3}$

Salary spent on food= 1/4 of x

= x/4

Again, Remaining salary:-

$= \frac{2x }{3} - \frac{x}{4}$
$= \frac{8x -3x }{12}$
$= \frac{5x}{12}$

Salary spent on traveling= 1/6 of x

= x/6

Therefore, Remaining salary:-

$= \frac{5x }{12} - \frac{x}{6}$
$= \frac{5x - 2x}{12}$
$= \frac{3x}{12}$

Salary spent on clothes= 1/8 of x

= x/8

Remaining salary:-

$= \frac{3x}{12} - \frac{x}{8}$
$= \frac{6x - 3x}{24}$
$= \frac{3x}{24}$
$= \frac{x}{8}$
Now, The fraction of salary left is x/8 and the amount of salary left if $1250.

Therefore,

$\frac{x}{8} = 1250$

$or \: \: x = 10000$

The salary of John is $10,000.


Hope this helps!❤

-Regards