Answer:
- i) 2/3,
- ii) 2/9,
- iii) 4/27,
- iv) Rs. 40000.
Explanation:
i)
A person gives 1/3 of his wealth to his wife, then he is left with:
- 1 - 1/3 = 2/3 of the total amount
ii)
Then he gives 1/3 of the remainder to his son, the son gets:
- 2/3*1/3 = 2/9 of the total amount
iii)
The remaining portion is:
- 2/3 - 2/9 = 6/9 - 2/9 = 4/9 of the total amount
Each daughter gets 1/3 of it as there are three daughters:
- 4/9 * 1/3 = 4/27 of the total amount
iv)
If the total amount is x, the son gets 2/9x and a daughter gets 4/27x and the difference of the two is Rs 20000:
- 2/9x - 4/27x = 20000
- 6/27x - 4/27x = 20000
- 2/27x = 20000
- x = 20000*27/2
- x = 270000
This is the total amount.
The amount obtained by a daughter is: