Mr brown spends his monthly salary of $1440. He spends on food 1/4, on transport 30%, on bill 30% and on rent? Find what fraction of his monthly income does he spend on rent show working

First, let's calculate how much Mr. Brown spends on each category:

Food: 1/4 of $1440 = $360
Transport: 30% of $1440 = 0.3 * $1440 = $432
Bills: 30% of $1440 = 0.3 * $1440 = $432

Now, let's calculate how much Mr. Brown spends on rent. We know that Mr. Brown spends all of his monthly salary, so we can add up the amounts he spends on food, transport, and bills and subtract this total from his monthly salary:

Total spent on food, transport, and bills = $360 + $432 + $432 = $1224

Amount spent on rent = $1440 - $1224 = $216

To find the fraction of his monthly income spent on rent, we need to divide the amount spent on rent ($216) by his monthly salary ($1440), and simplify the fraction:

Fraction spent on rent = $216/$1440 = 3/20

Therefore, Mr. Brown spends 3/20 of his monthly income on rent.