If a is 50% larger than c and b is 25% larger than c, then a is what percent larger than b?

1 Answer
Alan P.
Jun 22, 2016

a is 20% larger than b

Explanation:

If a is 50% larger than c
color(white)("XXX")a=150%xxc=3/2c
color(white)("XXX")rarr color(red)(c=2/3 a)

If b is 25% bigger than c
color(white)("XXX")b=120%xxc= 5/4c
color(white)("XXX")rarrcolor(blue)( c=4/5b)

Therefore
color(white)("XXX")color(red)(2/3a)=color(blue)(4/5b)

color(white)("XXXX")a=12/10b
color(white)("XXXX")= b+2/10b
color(white)("XXXX") = b + (20%xxb)

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