Question

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

Answer 1

`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)`