Question

Two members X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number Y less than the number X?
1. 12%
2. 10%
3. 9%
4. 8%

Answer 1

Correct Answer - Option 2 : 10%

Given 

X is less than Z = 20%

Y is less than Z = 28% 

Formula Used 

Percentage = (actual/total) × 100

Calculation 

⇒ Let the Z be 100 

⇒ so, x = 100 - 20% of 100 = 80 

⇒ y = 100 - 28% of 100 = 72 

⇒ Percentage the number Y less than the X = [(80 - 72)/80] × 100 = 10%

∴ percentage is the number Y less than the number X is 10%