# A certain number of student from school X appeared in an examination and 30% student failed. 150% more students than more from school X, appeared in the same examination from school Y, If 80% of the total number of students who appeared from X and Y passed, then what is the percentage of student who failed from Y?

A. 24

B. 20

C. 16

D. 18

**Answer: Option C **

__Solution(By Examveda Team)__

**Calculation:**

30% of the students from school X failed

Let the number of students from school X be 100

⇒ Number of students who failed = 30

⇒ Number of students who passed = (100 - 30) = 70

According to the question,

150% more students than school X, appeared in the examination from school Y

Number of students from school Y = $$100 + \left( {100 \times \frac{{150}}{{100}}} \right)$$

⇒ Number of students from school Y = 250

Again, according to the question,

80% of the total number of students from X and Y passed

Total students from school X and Y = 100 + 250 = 350

⇒ Total number of students who passed = $$350 \times \frac{{80}}{{100}}$$

⇒ Total number of students who passed = 280

Now,

Number of students who passed from school Y = 280 - 70

⇒ Number of students who passed from school Y = 210

Number of students who failed from school Y = 250 - 210

⇒ Number of students who failed from school Y = 40

Percentage of students who failed from Y = $$\frac{{40}}{{250}} \times 100$$

⇒ Percentage of students who failed from Y = 16%

∴ 16% of students failed from school Y.

Related Questions on Percentage

A. $$\frac{1}{4}$$

B. $$\frac{1}{3}$$

C. $$\frac{1}{2}$$

D. $$\frac{2}{3}$$

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