Question

A person deposits Rs x in a savings bank account at the rate of 5 % per annum and Rs y in
per annum. At the end of first year he gets Rs 400 total interest. It he
deposits Rs y in saving bank account and Rs x in fixed deposit he would get Rs 3 ds
interest. Find the total amount he invested.​

Answer 1

The total amount invested is 2000 Rs.

Step-by-step explanation:

1st case:

r = 5% ,  r = 10%

x × 1 × 5/100 + y × 1 × 10/100=400

5x/100 + 10y/100 = 400

5x + 10y = 40000

x + 2y = 8000   ........(1)

2nd case:

x × 10/100 + y × 5/100 = 350

10x + 5y = 35000

2x + y=7000  .......(2)

Multiplying equation 1 by 2.

2x + 4y = 16000

2x + y. = 7000

By subtracting

3y = 9000

y = 9000/3 = 3000

Putting the value of y in equation 1

x = 8000 - 2y

= 8000-6000

= 2000 Rs

Thus the total amount invested is 2000 Rs.

Also learn more

What is compound interest?

https://brainly.in/question/1128320