x is 20% more than z and y is 80% more than z. Find x:y?
- 2:3
- 3:4
- 1:3
- 1:4
Explanation
Since x is 20% more than z, we have:
x = z + (20% of z)
= 100 + (20/100) × 100
= 100 + 20
= 120
Since y is 80% more than z, we have:
y = z + (80% of z)
= 100 + (80/100) × 100
= 100 + 80
= 180
Now, we need to find the ratio x:y. We can simplify this by dividing both numbers by their greatest common divisor (GCD), which is 20.
x = 120 ÷ 20 = 6
y = 180 ÷ 20 = 9
So, the ratio x:y is 6:9. We can further simplify this by dividing both numbers by their GCD, which is 3.
x = 6 ÷ 3 = 2
y = 9 ÷ 3 = 3
Therefore, the ratio x:y is 2:3.
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