A person left 1/5 of his property to his wife, 1/2 of his property to his son and daughter to be shared in the ratio if 2:1 and remaining property to be given to his grandson and granddaughter to be shared in the ratio of 3:2.If that person had Rs 60,00,000 worth of property compute the value of property to be received by each of them?

total value of his property ---- 60,000,000

wife's share = (1/5)(60,000,000) = 12,000,000
son & daughters share = 30,000,000

son's share --- 2x
daughter's share --- x
2x + x = 30,000,000
x = 10,000,000
So the son gets 20,000,000 and the daughter gets 10,000,000

leaving 60 - 12 -30 million, or
18,000,000 for the grandson and granddaughter to split in the ratio of 3 : 2
so grandson gets 3/5 of 18000000 or 10,800,000
and the granddaughter gets 2/5 of 18,000,000
or 7,200,000

wife --- 12,000,000
son ----20,000,000
daughter - 10,000,000
grandson - 10,800,000
granddaughter -- 7,200,000

check for the total and the two ratios.

To solve this problem, we need to compute the value of the property each person receives.

Let's start by calculating the fraction of the property received by each person:

1. Wife: 1/5 of the property
2. Son and daughter (shared in the ratio of 2:1): 1/2 of the property
3. Grandson and granddaughter (shared in the ratio of 3:2): The remaining property after the wife, son, and daughter have received their share.

Step 1: Calculate the value of the wife's share:
The wife is entitled to 1/5 of the property.
Value of the wife's share = (1/5) * (Rs 60,00,000) = Rs 12,00,000

Step 2: Calculate the value of the son and daughter's share:
The son and daughter are entitled to 1/2 of the property.
Value of the son and daughter's share = (1/2) * (Rs 60,00,000) = Rs 30,00,000

Step 3: Calculate the remaining property after the wife and son and daughter have received their share:
Remaining property = Total property - (Value of wife's share + Value of son and daughter's share)
Remaining property = Rs 60,00,000 - (Rs 12,00,000 + Rs 30,00,000) = Rs 18,00,000

Step 4: Calculate the value of the grandson and granddaughter's share:
The grandson and granddaughter are entitled to the remaining property, shared in a ratio of 3:2.
Value of the grandson's share = (3/5) * (Value of remaining property) = (3/5) * (Rs 18,00,000) = Rs 10,80,000
Value of the granddaughter's share = (2/5) * (Value of remaining property) = (2/5) * (Rs 18,00,000) = Rs 7,20,000

Therefore, the value of the property each person receives is:
- Wife: Rs 12,00,000
- Son and daughter: Rs 30,00,000
- Grandson: Rs 10,80,000
- Granddaughter: Rs 7,20,000