For simple interest:


\(\text { Interest }=\text { Principal × Rate } \text { × Time }\)


For the first investment:


\(p=8000 \times \frac{z}{100} \times 1=80 z\)


For the second investment:


\(\frac{p}{3}=w \times \frac{3 z}{100} \times 1\)


Substitute p=80 z :


\(\frac{80 z}{3}=w \times \frac{3 z}{100}\)


Assuming \(z \neq 0\) , divide both sides by z :


\(\frac{80}{3}=\frac{3 w}{100}\)


Multiply both sides by 100 :


\(\frac{8000}{3} =3 w\)

\(w=\frac{8000}{9} \approx 888.89\)


So Quantity \(\mathrm{A}=w \approx 888.89\) , and Quantity \(\mathrm{B}=1000\) .
Thus Quantity B is greater.