Rajendra a farmer had two sons and two daughters. He decided to divide his property among his sons and daughters .So he wrote a “WILL” about distribution of his property. According to his “WILL”, he desired to give 3/5 th of the property to his sons in equal proportion, 1/3 rd to his daughters in equal proportion and rest to a charitable trust. After his death his “WILL” was opened and read out by the Advocate in the presence of all villagers.
Now answer the following questions
1. How much of the property each son gets?
a) 3/5 b) 3/10 c) 1/5 d) ½
2. How much of the property each daughter gets?
a) 1/3 b) 2/3 c) 1/6 d) ½
3. How much of the property Charitable Trust gets?
a) 1/2 b) 1/6 c) 1/9 d) 1/15
4. How much total money was given to daughters and sons ?
a) 2/5 b) 3/10 c) 14/15 d) 2/15
Answers
Given:
A Farmer distributes has two sons and two daughters, he distributes 3/5th of the land to his two sons equally, he also donates 1/3rd part to the two daughters equally, The remaining part is donated to the charity.
To Find:
1. Property each son gets.
2. Property each daughter gets.
3. Property Charitable trust gets.
3. Total property shared among the daughters and sons.
Solution:
Part 1:
1. Given that the two sons are given 3/5th part and they divide it equally.
- The two sons share the 3/5th part equally.
- Share each son will get is (They equally share the given part).
- Share each son gets is.
Therefore, each son gets 3/10th of the whole property (Option b).
Part 2:
1. Given that the two daughters are given 1/3rd part and they divide it equally.
- The two sons share the 1/3rd part equally.
- Share each daughter will get is (They equally share the given part).
- Share each son gets is .
Therefore, each daughter gets 1/6th of the whole property (Option c).
Part 3:
1. Given that the remaining portion after the sharing between sons and daughters will be given to Charitable trust.
2. Amount of property Charitable trust gets = 1 - [(Property two sons get) +
(Property two daughters get)].
- Property to charitable trust = 1 - [(3/5)+(1/3)]
=> Property to Charitable trust = 1 - ,( Addition of fractions by equating the denominatos)
=> Property to the Charitable trust = ,
=> Property to the Charitable trust = .
Therefore, Charitable Trust gets 1/15th of the total property (Option d).
Part 4:
1. Given that 2 sons and 2 daughters take 3/5th and 1/3rd parts respectively.
2. Total part of the property taken is given by,
=>,( add the fractions by making the denominators equal)
=>,
=> 14/15.
Therefore, the total amount of property given to both sons and daughters is 14/15. (Option c)
Step-by-step explanation:
A Farmer distributes has two sons and two daughters, he distributes 3/5th of the land to his two sons equally, he also donates 1/3rd part to the two daughters equally, The remaining part is donated to the charity.
To Find:
1. Property each son gets.
2. Property each daughter gets.
3. Property Charitable trust gets.
3. Total property shared among the daughters and sons.
Solution:
Part 1:
1. Given that the two sons are given 3/5th part and they divide it equally.
The two sons share the 3/5th part equally.
Share each son will get is
1
2
∗
3
5
2
1
∗
5
3
(They equally share the given part).
Share each son gets is
3
10
10
3
.
Therefore, each son gets 3/10th of the whole property (Option b).
Part 2:
1. Given that the two daughters are given 1/3rd part and they divide it equally.
The two sons share the 1/3rd part equally.
Share each daughter will get is
1
2
∗
3
5
2
1
∗
5
3
(They equally share the given part).
Share each son gets is
1
6
6
1
.
Therefore, each daughter gets 1/6th of the whole property (Option c).
Part 3:
1. Given that the remaining portion after the sharing between sons and daughters will be given to Charitable trust.
2. Amount of property Charitable trust gets = 1 - [(Property two sons get) +
(Property two daughters get)].
Property to charitable trust = 1 - [(3/5)+(1/3)]
=> Property to Charitable trust = 1 -
3
∗
3
3
∗
5
+
1
∗
5
5
∗
3
3∗5
3∗3
+
5∗3
1∗5
,( Addition of fractions by equating the denominatos)
=> Property to the Charitable trust =
1
−
14
15
1−
15
14
,
=> Property to the Charitable trust =
1
15
15
1
.
Therefore, Charitable Trust gets 1/15th of the total property (Option d).
Part 4:
1. Given that 2 sons and 2 daughters take 3/5th and 1/3rd parts respectively.
2. Total part of the property taken is given by,
=>
3
5
+
1
3
5
3
+
3
1
,( add the fractions by making the denominators equal)
=>
3
∗
3
5
∗
3
+
1
∗
5
3
∗
5
5∗3
3∗3
+
3∗5
1∗5
,
=> 14/15.
Therefore, the total amount of property given to both sons and daughters is 14/15.