Explanation

Rather than trying to write out the whole statement as math, note that “the number that is 50% greater than 60” can be calculated: 1.5(60) = 90. Similarly, “the number that is 20% less than 150” is 0.8(150) = 120. The question can be rephrased as “90 is what percent less than 120?” Use the percent change formula. Since the question specifies a “percent less,” the “original” number is 120:

Percent Change=\((\frac{Difference}{original} \times 100)\)

Percent Change=\((\frac{30}{120} \times 100)=25\%\)
_________________

Workings :

50% grater than 60

= 150% of 60

= (150/100)* 60

= 90


20% less than 150

80% of 150

= (80/100)*100

= 120


Difference = 120 - 90 = 30


Required % :

(30/120)*100

= 25%

The best answer is E.

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