Question

The value of the assets distributed among Neeta, Seeta and Geeta were in the ratio of 1:2:3, while the gold coins were distributed among them in the ratio of 2:3:4. One 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)? ___

Answer 1

Refer to the table given below:
$\begin{array}{cccc}\text{Asset}& \text{Neeta}& \text{Seeta}& \text{Geeta}\\ \text{Flats (Rs.in lakhs)}& & & 30+30+30=90\\ \text{House (Rs.in lakhs)}& & 50& \\ \text{Bank deposits(Rs. in lakhs)}& 30& x_2& x_3\\ \text{Coins (Total number=n and)}& 2n& 3n& 4n\\ \text{Total value=n}\times \text{1=Rs.n lakhs)}& & & \\ \text{Total (Rs. in lakhs)}& 30+2n& 50+x_2+3n& 90+x_3+4n\end{array}$
Given, $90+x_3+4n=3(30+2n)$
$x_3=2n-------\left(1\right)$
& $50+x_2+3n=2(30+2n)$
$x_2-n=10---------\left(2\right)$
Solving 1) & 2), we get
$x_2-x_3=20-------\left(3\right)$
But we know that $x_2+x_3=70-30=40------\left(4\right)$
Solving (3) & (4), we get
$x_2=x_3$ = Rs. 20 lakhs
Hence, Geeta gets Rs. 20 lakhs in bank deposits.