Question

49. If x is 25% greater than y and y is 15% less

than z, then x:z=
A. 3:80.
B. 17:16.
C. 25:16.
D. 25:17.

Answer 1

If x is 25% greater than y and y is 15% less than z, then
`\mathrm{X}: Z = 17: 16`

Step-by-step explanation:

Given

x is 25% greater than y

It means that

`\mathrm{x}=\mathrm{y}+0.25 \mathrm{y}`

`\mathrm{x}=1.25 \mathrm{y} \ldots \ldots(1)`

Similarly y is 15% less than z

it means that

`\mathrm{y}=\mathrm{z}-0.15 \mathrm{z}`

`\mathrm{y}=0.85 \mathrm{z}`

Now, from equation (1)

`\mathrm{x} / 1.25=0.85 \mathrm{z}`

`x / z=0.85 * 1.25`

`\mathrm{x} / \mathrm{z}=1.06=17 / 16`

`\mathrm{x} / \mathrm{z}=17 / 16`

Hence, the required ratio of x and z is 17:16