Question #237439

A is 8% taller than B, while B is 9% taller than C. by how much

in percent is A taller than C?


1
Expert's answer
2021-09-22T00:52:42-0400

Let

A=[100+8100]B=1.08BA =[\frac{100+8}{100}]B=1.08B


B=[100+9100]C=1.09CB =[\frac{100+9}{100}]C=1.09C



A=(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


A taller than C by 17.72%




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