A's height is more than B's height by 20%. By what per cent is B'S height less than A's height?
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A's height is more than B's height by 20%. By what per cent is B'S height less than A's height?
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Method - 1:
Required percentage = (100 * 20)/(100 + 20)
= (2000)/(120)
= 16.666667
= 16 2/3%.
Method - 2:
Let the height of B be 'x'.
Given that A's height is 20% more than B.
⇒ x + 20% of x
⇒ x + (20/100) * x
⇒ x + (20x/100)
⇒ (120x)/100
⇒ 6x/5
Their Difference:
⇒ (6x/5) - x
⇒ (x/5).
Now,
Required percentage = (x/5) * (5/6x) * 100%
⇒ (1/6) * 100%
⇒ 50/3 %
⇒ 16 2/3%.
Hope it helps!