let $a be the amount for which you receive x% interest

(60,000-a) amount for which you receive y% interest.

x%a+(60,000-a)*y% = 4080--->equ1
You have 3 unknown variables.

St 1: x = 43y

If you substitute it in equ 1 you'll still have 2 unknown variables y & a--> INSUFF

St 2: xa:(60,000-a)y = 3:2

Again you still have 3 unknown variables. ---> INSUFF

Combining the 2 statements

You have 3 unknown variables and 3 distinct equations. Hence you can solve and determine the value of x---> SUFF

Answer is C

mals24 wrote:let $a be the amount for which you receive x% interest

(60,000-a) amount for which you receive y% interest.

x%a+(60,000-a)*y% = 4080--->equ1
You have 3 unknown variables.

St 1: x = 43y

If you substitute it in equ 1 you'll still have 2 unknown variables y & a--> INSUFF

St 2: xa:(60,000-a)y = 3:2

Again you still have 3 unknown variables. ---> INSUFF

Combining the 2 statements

You have 3 unknown variables and 3 distinct equations. Hence you can solve and determine the value of x---> SUFF

Answer is C

I also got equations similar to yours but when I am trying to solve all these I am getting E as answer.
Are you sure you are getting value of x after solving these equations and what value are you getting

yup im getting a value for a as 2022
y = 2.8%
x= 1.204%

Im not sure of my calculations if they are correct. But you can find out the values of the 3 unknowns.

From st 1 you'll get an equation
x=43y
42ay+60,000y=408,000

From st 2 you'll get an equation

2xa=180,000y-3ay

Substitute x=43y in the above equation

you'll get 86ya=180,000-3ay
89ya=180,000y---equ 1
a=180,000/89 = 2022

Substitute in equ 1 youll get the value of y and then you can determine the value of x.