Answer:
the principal amount at a rate of 4% is 2000
principal amount at a rate of 3.5% is 4000-2000 =2000
Explanation:
We have given total amount borrowed = $4000
Let x amount is borrowed at a rate of 4%
So $4000-x is borrowed at rate of 3.5%
Total interest = $150
We know that simple interest [tex]=\frac{principal\ amount\times rate\times time}{100}[/tex]
So [tex]\frac{x\times 4\times 1}{100}+\frac{(4000-x)\times 3.5\times 1}{100}=150[/tex]
[tex]4x+14000-3.5x=15000[/tex]
0.5 x=1000
x = 2000
So the principal amount at a rate of 4% is 2000
And principal amount at a rate of 3.5% is 4000-2000 =2000