The number that is 50% greater than 60 is what percent less than the

Question

The number that is 50% greater than 60 is what percent less than the number that is 20% less than 150?

(A) 5% 
(B) 10% 
(C) 15% 
(D) 20% 
(E) 25%

EgmatQuantExpert · Answer

Solution

To find:  
 • The number that is 50% greater than 60 is what percent less than the number that is 20% less than 150

Approach and Working:   
 • The number that is 50% greater than 60 = 60 * 1.5 = 90 (x)
• The number that is 20% less than 150 = 150 * 0.8 = 120 (y)
• The number x as a percentage less than y =  \frac{(120 – 90)}{120} * 100  =25%

Hence, the correct answer is option E.

Answer: E

Abhishek009 · Answer

80%*150 - 150% *60/80%*150*100

= \frac{120 - 90}{120}*100

= \frac{30}{120}*100

= 25 , Answer is (E)

GMATWhizTeam · Answer

Solution:

Number 1: 50% greater than 60  = 60+(\frac{50}{100}	imes 60) = 60+30=90 
Number 2: 20% less than 150  = 150 -(\frac{20}{100}	imes 150) = 150-30=120

We are asked:  \frac{Number 2 - Number 1}{ Number 2 }	imes 100= \frac{120-90}{120} 	imes 100 = 25 %

Hence the right answer is  Option E .

CrackverbalGMAT · Answer

Solution:

Number that is 20% less than 150 = 150 * 0.8 = 120

Number that is 50% greater than 60 = 60 *1.5 = 90

Difference b/w 90 and 120 is 30 and as a percentage it is 30/120 * 100 =25%

(Denominator is the number that we are comparing with which is 120 here)  (option e)
 
  Devmitra Sen
GMAT SME

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The number that is 50% greater than 60 is what percent less than the

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