Question

A father in his will give 2 by 5 of his property each of his son and daughter and rest to his servant who has been with him for a long what fraction of the property he gave to servant

Answer 1

1/5............ property..

Answer 2

Given:

A father in his will give 2 by 5 of his property each of his son and daughter and rest to his servant.

To find:

The fraction of the property he gave to the servant.

Solution:

Let the total property of the father be 1.

So,

according to the question,

He gave 2/5 of his property each to his son and daughter and the rest to his servant.

So,

Total property = property given to son + property given to daughter + property given to the servant

Now,

The fraction of property he gave to his son and daughter is

$= (\frac{2}{5} \times 1) + (\frac{2}{5} \times 1)$

$= \frac{2}{5} + \frac{2}{5}$

$= \frac{4}{5}$

So,

The fraction of the property he gave to his servant

$= \: total \: property \: - property \: given \: to \: son \: and \: daughter$

$= 1 - \frac{4}{5}$

On taking 5 as LCM, we get

$= \frac{5 - 4}{5}$

$= \frac{1}{5}$

Hence, the fraction of the property he gave to the servant is 1/5.