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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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Math Expert
Joined: 02 Sep 2009
Posts: 58464
If 60% of a is equal to 40% of b, then b is what percent of a?  [#permalink]

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11 Jan 2018, 21:21
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91% (01:10) correct 9% (00:32) wrong based on 33 sessions

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

A. 150%
B. 99%
C. 66 2/3%
D. 50%
E. 20%

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Joined: 22 Nov 2017
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Concentration: Technology, Healthcare
Re: If 60% of a is equal to 40% of b, then b is what percent of a?  [#permalink]

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11 Jan 2018, 21:45
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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Joined: 14 Mar 2017
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GMAT 1: 650 Q47 V33
Re: If 60% of a is equal to 40% of b, then b is what percent of a?  [#permalink]

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12 Jan 2018, 18:49
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]

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17 Oct 2019, 23:43
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Re: If 60% of a is equal to 40% of b, then b is what percent of a?   [#permalink] 17 Oct 2019, 23:43
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