An old woman had the following assets:
- Rs. $70$ lakh in bank deposits
- $1$ house worth Rs. $50$ lakh
- $3$ flats, each worth Rs. $30$ lakh
- 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 onechild and similarly, a gold coin went to one child.
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)?
- $20$
- $19$
- $17$
- $15$