Question 73

If A is 200% more than B, then B is how much percentage less than A?

Solution

Let B = 100.

A is 200% more than B. Therefore $$B\times\frac{100 + 200}{100} = A$$

$$100\times\frac{300}{100} = 300$$

therefore A = 300.

To find how much percent B less than A,

$$300\times\frac{100 - x}{100} = 100$$

$$100 - x = \frac{100}{3}$$

$$x = 100 - \frac{100}{3}$$

$$x = \frac{200}{3}$$

$$x = 66.67$$

hence B is 66.67% less than A.

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