Question

Subbu spends 1/3 of his monthly earnings on rent,2/5 on food and 1/10 on monthly usuals. What fractional part of his earnings is left with him for other expenses?

Answer 1

Answer:-

The Fractional part of money left with Subbu for other expenses is x/6.

Explanation :-

Given :

Money spent on rent => 1/3 of x = x/3

Money spent on food => 2/5 of x = 2x/5

Money spent on monthly usuals => 1/10 of x = x/10

To find :

Fractional parts of earnings left with Subbu for other expenses.

Solution :

Let the total money be x

Therefore, Total money spent on rent, food and monthly usuals :-

$= \dfrac{x}{3} + \dfrac{2x}{5} + \dfrac{x}{10}$

$= \dfrac{10x +12x + 3x }{30}$

$= \dfrac{25x}{30}$

$= \dfrac{5x}{6}$

Therefore, the total Fractional part of money spent is 5x/6.

Now, Earnings left :-

$= x - \dfrac{5x}{6}$

$= \dfrac{x}{1} - \dfrac{5x}{6}$

$= \dfrac{6x - 5x}{6}$

$= \dfrac{x}{6}$

Hence, The Fractional part of the earnings left is x/6 respectively.

Answer 2

Answer:

Answer is 1/6

Step-by-step explanation:

Let the total earnings is x

rent is1/3x

food is 2/5x

monthly usuals is 1/10x

= X -(1/3 X + 2/5 X + 1/10 x

x-5/6 =1/6x