Is y equal to 25% greater than x? (I) 75% of x is equal to 60% of y. (

Question

Is y equal to 25% greater than x?

(I) 75% of x is equal to 60% of y.

(II) x is 20% less than y.

yashikaaggarwal · Answer

To find: Is y equal to 25% greater than x?
or  Y =   \frac{125}{100} X
 Y=   \frac{5}{4} X

(I) 75% of x is equal to 60% of y.
 \frac{75}{100} *X =  \frac{60}{100} *Y
 5X =4Y 
 Y=   \frac{5}{4} X
(SUFFICIENT)

(II) x is 20% less than y.
 X =  Y* \frac{80}{100} 
 X = Y*  \frac{4}{5} 
 Y=   \frac{5}{4} X
(SUFFICIENT)

Answer is D

IanStewart · Answer

The question is just asking if the ratio of y to x is 5 to 4, and each Statement lets us find the ratio of y to x, so the answer is D.

EgmatQuantExpert · Answer

Solution 
  Given:

To find:

• Is y equal to 25% greater than x?

Approach and Working:

• We need to find the relation between x and y and that should suffice to answer.

Analysing Statement 1

• We are given that 75% of x is equal to 60% of y.
 o That would give a relation between x and y.

Therefore, Statement 1 alone is sufficient to answer this question

Analysing Statement 2  
 • We are given x is 20% less than y.
 o That would give a relation between x and y.

Therefore, Statement 2 alone is sufficient to find an answer.

Hence, the correct answer is option D.

Answer: D

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