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A broker charged an average commission of 12 percent on two transactio

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Bunuel
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A broker charged an average commission of 12 percent on two transactio [#permalink] New post   12 Nov 2021, 01:26
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A broker charged an average commission of 12 percent on two transactions: one for $600 and the other for $900. If his commission for the $900 transaction was 10 percent, what percent was his commission for the $600 transaction?

(A) 1%
(B) 12%
(C) 13%
(D) 14%
(E) 15%
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E
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Fdambro294
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Re: A broker charged an average commission of 12 percent on two transactio [#permalink] New post   12 Nov 2021, 02:22
Can use Weighted Average logic.

The 12% Average Return on the 2 investments will be closer to the 10% earned on the amount of $900 (the 10% figure is “weighted more heavily” since $900 is invested at 10% and only $600 is invested at N%)

This means N% must be greater than 12% by more than 10% is less than the overall average of 12% (12 - 10 = 2)

Therefore, N% must be greater than the overall average + 2% points or

N > 14%

Only E satisfies this possibility

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stne
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A broker charged an average commission of 12 percent on two transactio [#permalink] New post   21 Nov 2021, 02:19
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Bunuel wrote:
A broker charged an average commission of 12 percent on two transactions: one for $600 and the other for $900. If his commission for the $900 transaction was 10 percent, what percent was his commission for the $600 transaction?

(A) 1%
(B) 12%
(C) 13%
(D) 14%
(E) 15%


Let the \(12\% \) commision be equal to \(x\) amt.

Hence we can write \(\frac{x}{1500}*100 =12 \%\) or \(x= 180\)

So the total commison is \($180\)

We know commision on \($900\) was \(10\%\) or \($90 \)

Hence comm. on \($600\) must be \($90\) or \(\frac{90}{600}*100 =15 \%\)

Ans- E
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Maria240895chile
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A broker charged an average commission of 12 percent on two transactio [#permalink] New post   25 Feb 2022, 08:36
( x%*600+y%*900 )/1500=12/100
600x+900y=18000
600x=9000
x=15

ans E
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A broker charged an average commission of 12 percent on two transactio [#permalink]
25 Feb 2022, 08:36
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