Answer: Amount borrowed from 4% rate is $20000 and amount borrowed from 5.5% rate is $2000.
Step-by-step explanation:
Since we have given that
Total borrowed amount = $22,000
Amount borrowed at 4% rate of interest be 'x'.
Amount borrowed at 5.5% rate of interest be '22000-x'.
Number of years = 1
As we know the formula for "Simple interest":
[tex]Simple\ interest=\dfrac{P\times R\times T}{100}\\So,\\\\\dfrac{x\times 4\times 1}{100}+\dfrac{(22000-x)\times 5.5\times 1}{100}=910\\\\\dfrac{4x}{100}+\dfrac{121000-5.5x}{100}=910\\\\4x+121000-5.5x=910\times 100\\\\-1.5x=91000-121000\\\\-1.5x=-30000\\\\x=\dfrac{30000}{1.5}=\$20000[/tex]
So, Amount borrowed from 4% rate is $20000 and amount borrowed from 5.5% rate is $2000.
