# What Percent Is x Larger Than z ?

If x is 50% larger than y and z is 25% larger than y, what percent is x larger than z ?

- 25
- 35
- 10
- 20

**Answer: (4) 20**

**Explanation:-**

Let be the Y = P

X is 50 % larger than Y ,

Then, X = 150 P/100 = 15 P/10

Z is 25 % larger than Y,

Then, Z = 125 P/100 = 5 P/4

X is larger than Z = 15 P/10 – 5 P/4

= (30 P – 25 P)/20

= 5 P/20

= P/4

In percent X larger than Z = (P/4) x 100/(5 P/4)

= P x 4 x 100/4 x 5 P = 20 %

Hence, the answer is (4) 20 %.