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If 60% of a is equal to 40% of b, then b is what percent of a?

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If 60% of a is equal to 40% of b, then b is what percent of a? [#permalink]

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New post 11 Jan 2018, 20:21
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89% (00:45) correct 11% (00:21) wrong based on 28 sessions

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Re: If 60% of a is equal to 40% of b, then b is what percent of a? [#permalink]

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New post 11 Jan 2018, 20:45
60/100 a = 40/100 b. I.e 3/5 a = 2/5b or b = 3/2 a. I.e 150 percent of a. So answer is A

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Re: If 60% of a is equal to 40% of b, then b is what percent of a? [#permalink]

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New post 12 Jan 2018, 17:49
As we know, 0.6a = 0.4b. So, b = 0.6a/0.4 = 3a/2 = 1.5a.

Now, (b/a) × 100 = (1.5a/a) × 100 = 1.5 × 100 = 150%

Hence, b is 150% of a.

So, the correct answer is A.

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Re: If 60% of a is equal to 40% of b, then b is what percent of a?   [#permalink] 12 Jan 2018, 17:49
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