A father divided his property between two sons A and B and one daught...
Following common explanation, we get
The share of son A in total property = 4.6 lakhs
The share of son B in total property = 2.6 lakhs
The required ratio = 4.6 : 2.6 = 23 : 13
Hence, option D is correct.
Common explanation:
The total share of daughter = half of gold + 20% of land + 75% of cash amount
=
+ 20% of 5 lakhs + 75% of 80 thousand
= 3 lakhs + 1 lakhs + 60 thousand = 4 lakhs 60 thousand
Remaining Gold = 6 lakhs – 3 lakhs = 3 lakhs
Remaining Land = 5 lakhs – 1 lakhs = 4 lakhs
Remaining Cash = 80000 – 60000 = 20000
The share of son A = (1/2) of remaining gold + (3/4) of remaining land + (1/2) of remaining cash = 1.5 lakhs + 3 lakhs + 10 thousand = 4.6 lakhs
The share of son B = (1/2) of remaining gold + (1/4) of remaining land + (1/2) of remaining cash = 1.5 lakhs + 1 lakhs + 10 thousand = 2.6 lakhs.
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A father divided his property between two sons A and B and one daught...
Given Information:
- Cash: Rs. 80,000
- Land: Rs. 5,00,000
- Gold: Rs. 6,00,000
Distribution of Gold:
- Half of the gold (Rs. 3,00,000) is given to daughter C.
- Remaining gold (Rs. 3,00,000) is divided between sons A and B in equal proportion.
Distribution of Land:
- 20% of the land (Rs. 1,00,000) is given to daughter C.
- Remaining land (Rs. 4,00,000) is divided between sons A and B in the ratio of 3:1.
Distribution of Cash:
- 75% of the cash (Rs. 60,000) is given to daughter C.
- Remaining cash (Rs. 20,000) is divided between sons A and B in equal proportion.
Calculations:
Gold Distribution:
- Daughter C receives Rs. 3,00,000.
- Remaining gold is divided equally between sons A and B.
- Therefore, each son receives Rs. 1,50,000.
Land Distribution:
- Daughter C receives Rs. 1,00,000.
- Remaining land is divided between sons A and B in the ratio of 3:1.
- The total ratio is 3+1=4.
- Son A receives 3/4 of the land, which is (3/4) * Rs. 4,00,000 = Rs. 3,00,000.
- Son B receives 1/4 of the land, which is (1/4) * Rs. 4,00,000 = Rs. 1,00,000.
Cash Distribution:
- Daughter C receives Rs. 60,000.
- Remaining cash is divided equally between sons A and B.
- Therefore, each son receives Rs. 10,000.
Total Property Received:
- Son A receives: Rs. 1,50,000 (gold) + Rs. 3,00,000 (land) + Rs. 10,000 (cash) = Rs. 4,60,000.
- Son B receives: Rs. 1,50,000 (gold) + Rs. 1,00,000 (land) + Rs. 10,000 (cash) = Rs. 2,60,000.
Ratio of Total Property Received:
- The ratio of the total property received by son A to that received by son B is Rs. 4,60,000 : Rs. 2,60,000.
- Simplifying this ratio, we get 23:13.
Therefore, the respective ratio of the total property received by son A to that by son B is 23:13 (option D).