Answer:
If x is 25% greater than y and y is 15% less than z, then [tex]\mathrm{X}: Z = 17: 16[/tex]
Explanation:
Given
x is 25% greater than y
It means that
[tex]\mathrm{x}=\mathrm{y}+0.25 \mathrm{y}[/tex]
[tex]\mathrm{x}=1.25 \mathrm{y} \ldots \ldots(1)[/tex]
Similarly y is 15% less than z
it means that
[tex]\mathrm{y}=\mathrm{z}-0.15 \mathrm{z}[/tex]
[tex]\mathrm{y}=0.85 \mathrm{z}[/tex]
Now, from equation (1)
[tex]\mathrm{x} / 1.25=0.85 \mathrm{z}[/tex]
[tex]x / z=0.85 \times 1.25[/tex]
[tex]\mathrm{x} / \mathrm{z}=1.06=17 / 16[/tex]
[tex]\mathrm{x} / \mathrm{z}=17 / 16[/tex]
Hence, the required ratio of x and z is 17:16
