Solve Revenue Problem - Get Expert Help Now

[NotaMathPerson]

Again here is another problem I am having trouble with.
View attachment 5644For this one

I let $x=$ amount reduced from the original duty
$6-x=$ new amount after reduction.
And knowing the formula for revenue $R=Q*P$ but I can't use it because there is no given quantity.

Please kindly guide me on how to set up proper equation for this one.
Thanks a lot!

 

[MarkFL]

Initially, the revenue from the duty (in shillings) is given by:

\(\displaystyle R=0.06Q\)

When a new duty $D$ is imposed, we find:

\(\displaystyle \frac{2}{3}R=D\frac{3}{2}Q\)

Solving for $D$, we obtain:

\(\displaystyle D=\frac{4}{9}\cdot\frac{R}{Q}\)

Can you finish?