The numbers x and y are such that x : y = 4: 5. If x is more than z by 20%, then y will be more than z by:

Correct option is D

Given:
x : y = 4 : 5
Formula Used:
 $$\text{Percentage} = \left( \frac{\text{Value}}{\text{Total Value}} \right) \times 100$$​​
Solution:
According to the question,
=> x = z × $$\frac{120}{100}$$​​
=> x: z = 6: 5
=> x: y = 4: 5
Now with the help of above ratios we get,
=> x: y: z = 24: 30: 20
Hence the percentage of y will be more than z by.
=> P = $$\frac{y - z}{z}$$​ × 100
=> P = $$\frac{30 - 20}{20}$$​ × 100
=> P = 50%