can anyone answer this question

Dear Student, 
Solution) 
Given  : Amar deposits Rs . x  in savings bank account at the rate of 5% per annum and
Rs . y  in fixed deposit at 10% per annum.
As, we know that,
Simple interest  = $\frac{P \times r \times t}{100}$
Therefore, from the given condition " At the end of the first year he gets Rs. 400 as total interest "  we get ,

$$\begin{gathered} \frac{x \times 5 \times 1}{100} + \frac{y \times 10 \times 1}{100} = 400 \\ \Rightarrow \frac{x}{20} + \frac{y}{10} = 400 \\ \Rightarrow \frac{x + 2y }{20} = 400 \\ \Rightarrow x + 2y = 8000 -------- ( 1 ) \end{gathered}$$

Also, from the given condition " He deposits Rs . y in savings bank account and Rs . x in fixed deposit he would get Rs. 350 as total interest. " , we get

$$\begin{gathered} \frac{y \times 5 \times 1}{100} + \frac{x \times 10 \times 1}{100} = 350 \\ \Rightarrow \frac{y}{20} + \frac{x}{10} = 350 \\ \Rightarrow \frac{y + 2x }{20} = 350 \\ \Rightarrow 2x + y = 7000 -------- ( 2 ) \end{gathered}$$

Now, multiply equation (1)  by 2, we get,

2x + 4y  = 16000                                     ----------- ( 3 )

and subtract equation (2) from equation (3), we get,

3y = 9000

y  = 3000 , Substitute that value in equation (1) , we get,

x + 2 ( 3000 ) = 8000

x  = 8000 - 6000

x  = 2000
So,
Total amount he deposits  =  x  + y  =  2000 + 3000
=  Rs . 5000     
= (3) option
Regards!