Question

Compare:

X and X decreased by 50% and then increased by 50% of the result

Answer 1

Explanation:

100% = X

50% = 100%/2 = X/2

X decreased by 50 means X - 50% = X - X/2 = X/2

now,

100% = X/2

50% = 100%/2 = X/2 / 2 = X/(2×2) = X/4

increasing the previous result by 50% means

X/2 + 50% = X/2 + X/4 = 2X/4 + X/4 = 3X/4

so, comparing this to the original X (= 4X/4), we are X/4 short.