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  • 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

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:

The value of the assets distributed among Neeta, Seeta and Geeta was in the ratio of 1 : 2 : 3, while the gold coins were distributed among them in the ratio of 2:3:4. One Child got all three flats and she did not get the house. One child, other than Geeta, got Rs. 30 lakh in bank deposits. 

How much did Geeta get in bank deposits (in lakhs of rupees)?

Option: 1

20


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

The total value of the assets with the old woman is 210 + 9n.

The assets have been distributed in the ratio 1 : 2 : 3.

  • Neeta: \mathrm{\frac{1}{6}\times210 +\frac{1}{6}\times9n = 35 + 1.5n}
  • Seeta: \mathrm{\frac{2}{6}\times210 +\frac{2}{6}\times9n = 70 + 3n}
  • Geeta: \mathrm{\frac{3}{6}\times210 +\frac{3}{6}\times9n = 103 + 4.5n}

Seeta has 3n gold coins. Therefore, the total value of the assets with her must be 70. Seeta could not have inherited all the flats. Therefore, Seeta must have received the house (worth 50 lakh) and 20 lakh from bank deposits.

We know that Geeta did not receive Rs. 30 lakh from the bank deposits. Therefore, Neeta must have received Rs. 30 lakh.

The remaining 5 lakh must be contributed by the gold coins.

⇒ 5 + 1.5n = 2n ⇒ 0.5n = 5 ⇒ n = 10

The old woman must have had 10 × 9 = 90 gold coins.

Total assets = 210 + 90 × 1 = 300 lakh

Neeta has received 50 lakh in total, Seeta has received 100 lakh and Geeta has received 150 lakh.

Geeta must have received 90 lakh from 3 flats. Out of the remaining 60 lakh, 4 × 10 = 40 lakh has been contributed by the gold coins. Geeta must have received 150 - 90 - 40 = 20 lakh from bank deposits.

Therefore, Geeta received 20 lakh from bank deposits.

 

Posted by

Sumit Saini

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