An old woman had the following assets:
(a) Rs 70 lakh in bank deposits
(b) 1 house worth Rs. 50 lakh
(c) 3 flats, each worth Rs. 30 lakh
(d) Certain number of gold coins, each worth Rs. 1 lakh
She wanted to distribute her assets among her three children; Neeta, Seeta and Geeta.
The house, any of the flats or any of the coins were not to be split That is, the house went entirely to one child; a flat went to one child and similarly, a gold coin went to one child.
Question:
Among the three, Neeta received the least amount in bank deposits, while Geeta received the highest. The value of the assets was distributed equally among the children, as were the gold coins.
How many flats did Neeta receive?
2
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Given: The total value of the assets is 210 lakhs. They are divided equally, so each will receive assets worth 70 lakh.
Neeta received least amount in bank deposits
=> she received highest amount in property and the vice versa for Geeta.
No one daughter can get 3 flats as the total value of asset will be 90 lakhs which is greater than actual share.
All three daughters cannot get 1-1 flat each as well.
In that case, the daughter who owns 1 flat and the house will have assets worth 30+50 = 80 lakhs which is more than the actual share.
Hence, we can conclude that one of the three daughter gets 2 flats and 10 lakhs bank deposit.
Out of the remaining two daughters, one will get the house and bank deposit worth 20 lakhs and the other one must have 1 flat and 40 lakhs in bank deposit.
Therefore, the property and bank deposits for each Neera, Seeta and Geeta are as follows:
Daughter |
Property |
Bank Deposits (in lakhs) |
Neeta |
2 flats (worth 60 lakhs) |
10 |
Seeta |
House (worth 50 lakhs) |
20 |
Geeta |
1 flat (worth 30 lakhs) |
40 |
Hence, from the above table, it can be concluded that Neeta received 2 flats.