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If 60% of (a - b) = 40% of (a + b), then what percent of a is b?

From \(60(a-b)=40(a+b)\) we get \(6a-6b=4a+4b\), so \(2a=10b\) and \(b=\frac{a}{5}\). Therefore b is \(\frac{1}{5}\times100=20\) percent of a. Hence 20 percent.

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If 60% of (a - b) = 40% of (a + b), then what percent of a is b?

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Correct answer A

From 60(a−b)=40(a+b)60(a-b)=40(a+b) we get 6a−6b=4a+4b6a-6b=4a+4b, so 2a=10b2a=10b and b=a5b=\frac{a}{5}. Therefore b is 15×100=20\frac{1}{5}\times100=20 percent of a. Hence 20 percent.

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