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The table gives information on the total inventory in 2015 and the tot

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Sajjad1994
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The table gives information on the total inventory in 2015 and the tot [#permalink] New post  08 Oct 2021, 08:00
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Question # 13 Date: 08-Oct-2021
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The table gives information on the total inventory in 2015 and the total items produced by a national pottery manufacturer over a 5-year period, from 2011 through 2015. The 17 items were included in the table because they fall among the top 20 items produced by the company in terms of total inventory and total number made. In addition to listing the total inventory and total number made for each pottery type, the table also gives the percent increase or decrease over the 2014 inventory and 2006–2010 production numbers and the rank of each pottery type for total inventory and total items made.

Click on the column heads to sort the data.

Pottery TypeInventoryNumber Made
ClayItemColorNumber% ChangeRankNumber% ChangeRank
Earthenware Bowl White 19355-12.1191162469.213
Stoneware Plate Black 20332-8161245676.610
Stoneware Platter Blue 21652-6.2131154357.115
Kaolin Platter Green 22888-5.871356265.15
Earthenware Mug Red 25422-5.121254322.17
Kaolin Bowl Tan 256251.21124243-6.211
Earthenware Bowl Black 201112.3181247362.18
Stoneware Vase White 206362.4151246227.19
Kaolin Plate Blue 217652.612123576-8.212
Earthenware Plate Green 222453.48105788-1.317
Kaolin Bowl White 214143.7141124354.416
Kaolin Vase Tan 218764.1111047556.919
Stoneware Bowl Silver 219875.210105645-4.518
Kaolin Mug Brown 234556.26145625-6.71
Earthenware Platter Red 221236.29135744-5.22
Kaolin Vase White 244447.14102456-2.520
Stoneware Mug Black 252349.231356355.54
(Sort ↕ the table by clicking on the headers)

Show SpoilerAdditional Statement
The total inventory of white kaolin vases in 2014 was approximately 22,824.
Answer: True.
True False
Exactly 50% of the items that experienced an increase in both total inventory and total number made are green.
The pottery type experiencing the greatest percentage increase in total inventory from 2014 to 2015 also experienced the lowest percentage increase in the total number of items made.
The pottery type with the lowest rank based on total inventory is the same as the type with the lowest rank based on total items made.
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Sajjad1994
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Re: The table gives information on the total inventory in 2015 and the tot [#permalink] New post  10 Oct 2021, 10:11
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Official Explanation

Among the items that experienced an increase in total inventory, five also experienced an increase in total items sold. None of these five items are green.

The pottery type experiencing the greatest percentage increase in total inventory from 2014 to 2015 was the black stoneware mug. The pottery types that experienced the lowest percentage increase in the total number of items made were the black earthenware bowl and the red earthenware mug.

The pottery type with the lowest rank based on total inventory is the white earthenware bowl, at rank #19. The pottery type with the lowest rank based on total items made was the white kaolin vase.

In 2015, the total inventory of white kaolin vases was 24,444. This represented a 7.1% increase over the total inventory for 2014. To find the total white kaolin vase inventory for 2014, let x represent the missing value. Set up an equation: \(x+0.71x=24,444\). Then solve for x:

\(x+0.71x=24,444\)

\(1x+0.71x=24,444\)

\(1.071x+0.71x=24,444\)

\(\frac{1.071x}{1.071} = \frac{24,444}{1.071}\)

\(x ≈ 22,824\)

Answer: False, False, False and True.
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akash2703
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Re: The table gives information on the total inventory in 2015 and the tot [#permalink] New post  09 Oct 2021, 00:13
1. Exactly 50% of the items that experienced an increase in both total inventory and total number made are green.

IMO FALSE

Explanation -
Filter out the data that increased in both (or the % increase is +ve)
The green colored type has a decrease in both so definitely it's a False.
(Inventory change of - 5.8 in platter and number change of -1.3 in plate )


2. The pottery type experiencing the greatest percentage increase in total inventory from 2014 to 2015 also experienced the lowest percentage increase in the total number of items made.

IMO FALSE

Explanation -
Sort out the Inventory % change with highest on the top. It turns out to be the Stoneware of Mug Type with a 9.2% increase, but with a 5.5% increase for the number made change, this change is not the lowest % change.

3. The pottery type with the lowest rank based on total inventory is the same as the type with the lowest rank based on total items made.

IMO TRUE
Explanation-
The lowest rank based on total inventory is that of Kaolin Bowl of Tan color.
While the lowest rank based on total items made is Kaolin Mug of Brown color.
These two items (Bowl and Mug) are of the same type Kaolin.

4. The total inventory of white kaolin vases in 2014 was approximately 22,824.

IMO TRUE

Explanation -
The total inventory of white kaolin vases in 2015 IS 24444 and the % change over 2014 is 7.1
Hence the Inventory on 2014 (let's say x) is x*1.071=24444
Hence x = 22823.52
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Catman
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Re: The table gives information on the total inventory in 2015 and the tot [#permalink] New post  09 Oct 2021, 00:53
1. Since total items we get on sorting from number made increase are 10, out of which the 4 will have an decrease in inventory thus out of total remaining 6 items we will have 0 green .Hence false.

2. stoneware mug black have the highest change in inventory, now lowest percentage increase on the basis of number of items is earthware mug red, hence false.

3. Earthware bowl white has the lowest rank based on inventory which is not same as Kaolin vase white who has lowest rank number. based on number, hence false.

4. In 2014 the increase in the number total inventory of white kaolin vases is approx. 22,824 an increase of 7.1% will have 24,444 .Thus true.
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Re: The table gives information on the total inventory in 2015 and the tot [#permalink] New post  09 Oct 2021, 08:20
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OA of this question has been posted, It is:

False, False, False, and True.

Catman got it right.
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Re: The table gives information on the total inventory in 2015 and the tot [#permalink] New post  09 Oct 2021, 08:38
1
Kudos
1. False
2. False
3. False
4. True

Explanation in Pictures.

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Re: The table gives information on the total inventory in 2015 and the tot [#permalink]
09 Oct 2021, 08:38
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