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

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

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New post 01 Jan 2018, 01:28
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Question Stats:

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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

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

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New post 01 Jan 2018, 06:10
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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New post 01 Jan 2018, 07:54
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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New post 01 Jan 2018, 10:28
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, 10:28
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On 4 sales, Mark has received commissions of $200, $75, $310, and $155

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