Question

Hari Babu left one-third of his property to his son, one-fourth to his daughter, and the remainder to his wife. If his wife’s share is Rs. 18000, what the worth of his total property?

Answer 1

Hint: We know that Hari Babu distributed his whole property to his son, daughter, and his wife without leaving anything behind which implies when we add the share of his son’s, daughter’s, and wife’s, it should result in total property. Take the total share as some variable and find all the shares in terms of that variable to get the value of that variable.

Complete step-by-step solution:
Let us suppose that the total property is A.
It is given that one-third of his property is left with his son, one-fourth of his property is left with his daughter and the remaining is left with his wife.
Which implies The son’s property = $\dfrac{1}{3}A = \dfrac{A}{3}$
and also , The daughter’s property = $\dfrac{1}{4}A = \dfrac{A}{4}$
Given that the share that he left to his wife is Rs. 18000
We know that when we add the share of his son’s, daughter’s and wife’s, it should result in total property.
Which is A = Son’s property + Daughter’s property + Wife’s property
$\Rightarrow A = \dfrac{A}{3} + \dfrac{A}{4} + 18000$
$\Rightarrow A = (\dfrac{7A}{12}) + 18000$
$\Rightarrow (\dfrac{5A}{12}) = 18000$
$\Rightarrow (\dfrac{A}{12}) = 3600$
$\Rightarrow A = 43200$
We know that A is the total property of Hari Babu. So, the worth of his total property is Rs. 43200.

Note: We can also find the share of the son, the share of the daughter, and what is fraction his wife’s share as we got to know the value of the total share. While doing any sums during practice try to find the answer for not only the value asked in the question but also what we can find through that question for more practice.