Question

A man invested 1000 rupees,split onto two schemes,at annual rates of interest 8% and 9%.After one year he got 875 rupees as interests from both. How much did he invest in each?

Answer 1

Given :

Total amount, T = 10000 . ( It should not 1000 )

Annual rates of interest in both scheme is 8% and 9% .

After one year he got 875 rupees as interests from both.

To Find :

How much did he invest in each.

Solution :

Let, amount invested in 8% annual interest scheme is x.

So, amount in other scheme is 10000-x .

Now, sum of interest is equal to 875.

`(x* r_1 * 1)/(100)+((10000-x)* r_2* 1)/(100)=875\\\\8x + 9(10000-x)=87500\\\\x = 90000-87500\\\\x = 2500`

Therefore, amount invested in 8% and 9% annual interest scheme is 2500 and 7500 rupees respectively.

Hence, this is the required solution.