A is 8% taller than B, while B is 9% taller than C. by how much
in percent is A taller than C?
Let
A=[100+8100]B=1.08BA =[\frac{100+8}{100}]B=1.08BA=[100100+8]B=1.08B
B=[100+9100]C=1.09CB =[\frac{100+9}{100}]C=1.09CB=[100100+9]C=1.09C
A=(1.08)1.09C=1.1772CA=(1.08)1.09C=1.1772CA=(1.08)1.09C=1.1772C
Hence (1.1772×100)−100=17.72(1.1772×100)-100=17.72(1.1772×100)−100=17.72
A taller than C by 17.72%
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