Jack invested an amount P at 6% annual rate of simple interest. Natila

Jack invested an amount \(P\) at 6% annual rate of simple interest. Natila invested an amount \(2P\) at 4% annual rate of simple interest. Jack stayed invested for a time period of \(5T\) years while Natila stayed invested for a time period of \(3T\) years. The total interest earned by Jack on his investment was $x and the total interest earned by Natila on her investment was $y.

Natila: Principal = 2P; Rate = 4%; Time =3T…….Interest = y = \(\frac{2P*4*3T}{100}\)
Jack: Principal = P; Rate = 6%; Time =5T…….Interest = x = \(\frac{P*6*5T}{100}\)

Thus \(\frac{y}{x}=\frac{2P*4*3T}{P*6*5T}=\frac{4}{5}\) or x=1.25y

Thus x>y.
Find values that fit in as per this ratio. y=2000, x=1.25*2000=2500