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# On 4 sales, Mark has received commissions of $200,$75, $310, and$155

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Joined: 02 Sep 2009
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On 4 sales, Mark has received commissions of $200,$75, $310, and$155 [#permalink]

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01 Jan 2018, 00:28
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100% (01:04) correct 0% (00:00) wrong based on 11 sessions

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On 4 sales, Mark has received commissions of $200,$75, $310, and$155, and he is waiting for the commission from a recently concluded sale. If Mark is to receive an average (arithmetic mean) commission of exactly $175 on the 5 sales, what must the value of the 5th commission be? A.$135
B. $140 C.$142
D. $150 E.$175
[Reveal] Spoiler: OA

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Re: On 4 sales, Mark has received commissions of $200,$75, $310, and$155 [#permalink]

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01 Jan 2018, 05:10
Bunuel wrote:
On 4 sales, Mark has received commissions of $200,$75, $310, and$155, and he is waiting for the commission from a recently concluded sale. If Mark is to receive an average (arithmetic mean) commission of exactly $175 on the 5 sales, what must the value of the 5th commission be? A.$135
B. $140 C.$142
D. $150 E.$175

Let x be the new value

The AM for 5 values is ( x+200+75+310+155) / 5 = 175

x + 740 = 875

x = 135.

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Re: On 4 sales, Mark has received commissions of $200,$75, $310, and$155 [#permalink]

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01 Jan 2018, 06:54
Bunuel wrote:
On 4 sales, Mark has received commissions of $200,$75, $310, and$155, and he is waiting for the commission from a recently concluded sale. If Mark is to receive an average (arithmetic mean) commission of exactly $175 on the 5 sales, what must the value of the 5th commission be? A.$135
B. $140 C.$142
D. $150 E.$175

$$175*5 = x + ( 200 + 75 + 310 + 155 )$$

Or, $$875 = x + 740$$

Or, $$x = 135$$

Thus, value of the 5th commission will be 135 , answer will be (A)

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On 4 sales, Mark has received commissions of $200,$75, $310, and$155 [#permalink]

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01 Jan 2018, 09:28
Bunuel wrote:
On 4 sales, Mark has received commissions of $200,$75, $310, and$155, and he is waiting for the commission from a recently concluded sale. If Mark is to receive an average (arithmetic mean) commission of exactly $175 on the 5 sales, what must the value of the 5th commission be? A.$135
B. $140 C.$142
D. $150 E.$175

$$Average =$$ $$\frac{Sum}{No.}$$

Say the value of 5th commission is "x"

Then we have : $$175 =$$ $$\frac{(200 + 75 + 310 + 155 + x)}{5}$$

Solving the we get x = 135

(A)
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On 4 sales, Mark has received commissions of $200,$75, $310, and$155   [#permalink] 01 Jan 2018, 09:28
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# On 4 sales, Mark has received commissions of $200,$75, $310, and$155

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