Question

A men spend 1/3 of is income on food,1/4 of the rest on rent and 1/5 of the rest on clothes.He still has Rs.1760 left with m. Find s income

Answer 1

Hey sup!

As per the question,

Let the total income be x.
Income spent on food=1/3 of x= x/3.
Remaining= x-x/3=2x/3.
Income spent on rent= 1/4 of 2x/3=x/6.
Remaining=2x/3-x/6=x/2.
Income spent on clothes=1/5 of x/2= x/10.
Remaining=x/2-x/10=4x/10.
Also Remaining income=1760Rs.

So, 4x/10=1760.
=>4x=1760×10=17600.
=>x=17600/4.
=>x=4400Rs.

His total income is 4400Rs.

Hope it helps

Answer 2

Answer:

The total income = Rs. 4400

Step-by-step explanation:

Let x be the income

Amount spent on food  = $\frac{1}{3}$ of his income = $\frac{x}{3}$

Amount left with him after spending for food = x - $\frac{x}{3}$ = $\frac{2x}{3}$

Amount spent on rent =  $\frac{2x}{3} X\frac{1}{4}$ = $\frac{x}{6}$

Amount left with him after spending for food and rent =$\frac{2x}{3} - \frac{x}{6}$ = $\frac{4x-x}{6}$= $\frac{x}{2}$

Amount spent on clothes = $\frac{x}{2}X \frac{1}{5}$=  $\frac{x}{10}$

Amount left with him after spending on food, rent and clothes = $\frac{x}{2} - \frac{x}{10}$= $\frac{5x -x}{10}$ =$\frac{4x}{10}$

Given, the amount left with him after spending on food rent and clothes = 1760

$\frac{4x}{10}$ = 1760

x =  $\frac{17600}{4}$ = 4400

∴The total income = Rs. 4400

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