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Weekly Revenue Per Product Category at Office Supply Store X

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Bunuel
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Weekly Revenue Per Product Category at Office Supply Store X [#permalink] New post   03 Jun 2019, 01:55
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Weekly Revenue Per Product Category at Office Supply Store X

According to the chart above, the average revenue per week per product category is $128. However, there is an error in the chart; the revenue for Pens is actually $176, not $164. What is the new, correct average revenue per week per product category be, in dollars?

(A) 130
(B) 131
(C) 132
(D) 164
(E) 176


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2019-06-03_1253.png
2019-06-03_1253.png [ 30.28 KiB | Viewed 1658 times ]
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B
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Re: Weekly Revenue Per Product Category at Office Supply Store X [#permalink] New post   03 Jun 2019, 02:09
Bunuel wrote:
Weekly Revenue Per Product Category at Office Supply Store X

According to the chart above, the average revenue per week per product category is $128. However, there is an error in the chart; the revenue for Pens is actually $176, not $164. What is the new, correct average revenue per week per product category be, in dollars?

(A) 130
(B) 131
(C) 132
(D) 164
(E) 176


Show Spoiler
Attachment:
2019-06-03_1253.png


This problem could be solved without calculation. Just utilize the unit digit concept.

New sum = 176 + 111 +199 +38 = ....4

....4 = 4 * new average (the multiplication must yield unit digit of 4)

Scan answer choices, only B & E. But E is 176 which is impossible.

Answer: B
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Weekly Revenue Per Product Category at Office Supply Store X [#permalink] New post   Updated on: 03 Jun 2019, 02:47
Reduced calculation :
The increase is revenue from the error is 12$. This increase is to be again divided by all four categories then added to the existing/wrong average. so 12/4 = 3$ increase in average. 128$+3$ = 131. Option B

Originally posted by Lampard42 on 03 Jun 2019, 02:43.
Last edited by Lampard42 on 03 Jun 2019, 02:47, edited 1 time in total.
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Re: Weekly Revenue Per Product Category at Office Supply Store X [#permalink] New post   03 Jun 2019, 02:45
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arvindmurugapan wrote:
Reduced calculation :
The increase is revenue from the error is 12$. This increase is to be again divided by all four categories then added to the existing/wrong average. so 12/4 = 3$ increase in average. 128$+3$ = 132. Option B


I think you have typo.

you mean 131
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Re: Weekly Revenue Per Product Category at Office Supply Store X [#permalink] New post   03 Jun 2019, 10:53
Bunuel wrote:
Weekly Revenue Per Product Category at Office Supply Store X

According to the chart above, the average revenue per week per product category is $128. However, there is an error in the chart; the revenue for Pens is actually $176, not $164. What is the new, correct average revenue per week per product category be, in dollars?

(A) 130
(B) 131
(C) 132
(D) 164
(E) 176


Show Spoiler
Attachment:
2019-06-03_1253.png


total (128*4 -164 +176 )/4 = 131
IMO B
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Re: Weekly Revenue Per Product Category at Office Supply Store X [#permalink] New post   06 Jun 2019, 17:42
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Bunuel wrote:
Weekly Revenue Per Product Category at Office Supply Store X

According to the chart above, the average revenue per week per product category is $128. However, there is an error in the chart; the revenue for Pens is actually $176, not $164. What is the new, correct average revenue per week per product category be, in dollars?

(A) 130
(B) 131
(C) 132
(D) 164
(E) 176


Show Spoiler
Attachment:
2019-06-03_1253.png


We see that the correct sum should be 176 - 164 = 12 dollars more than the incorrect sum.
The incorrect sum is:

128 x 4 = 512, so the correct sum must be 524.

Thus, the new average is 524/4 = 131 dollars.

Answer: B
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Re: Weekly Revenue Per Product Category at Office Supply Store X [#permalink]
06 Jun 2019, 17:42
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