Classic Whites runs two seasonal white sales, one in January and one : Two-part Analysis

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rn1112

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Re: Classic Whites runs two seasonal white sales, one in January and one [#permalink]

01 Apr 2023, 09:59

Classic Whites runs two seasonal white sales, one in January and one in August. Each sale runs for 14 days. The January sale this year sold an average of 3,500 sheet sets per week during its two-week price cut. The August sale exceeded the January sale by an average of 130 sets per day during its two-week price cut, despite the fact that it sold only 1,200 sets during its first week. The event to be held next January is expected to sell a weekly average of 75% of the sheet sets sold during the second week of this year’s August event.

In the table below, identify the number of sheet sets sold in the second week of this year’s August white sale event, and identify the total number of sheet sets that are expected to be sold during the entire sale next January. Make only one selection in each column.

This year,

January sale = 3500 sheet/week * 2 weeks = 7500 sheets

August sale @ 3500 + 130 * 7 = 4410 sheet/week,
hence, August sale = 4410 sheet/week * 2 weeks = 8820
1st week = 1200 sheets
2nd week = 8820 - 1200 = 7620 sheets

Next year,

January sale @ 0.75 * 7620 = 5715 sheets/week
Total January sales (Next year) = 5715 sheet/week * 2 weeks = 11430 sheets

IMO, the correct option will be
This August (second week) = 7620 sheets
Next January (entire sales) = 11430 sheets

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Re: Classic Whites runs two seasonal white sales, one in January and one [#permalink]

01 Apr 2023, 10:13

In the table below, identify the number of sheet sets sold in the second week of this year’s August white sale event, and identify the total number of sheet sets that are expected to be sold during the entire sale next January. Make only one selection in each column.

Jan - Week 1 - 3500 Week 2 - 3500. Total - 7000. Average per day = $\frac{7000}{14} $= 500.

Aug - Week 1 - 1200 Week 2 - ? .

Next Jan - Week 1 - ? Week 2 - ?

For Aug, its given that Average sale per day exceeded by 130 => 500+130 = 630. Total = 630*14 = 8820. Then, week 2 = 8820 - 1200 = 7620

For next Jan, its given that it is expected to sell a weekly average of 75% of the sheet sets sold during the second week of this year’s August event. => 0.75*7620 = 5715.
Total in next Jan = 5715*2 = 11,430.

(a) identify the number of sheet sets sold in the second week of this year’s August white sale event - 7620
(b) identify the total number of sheet sets that are expected to be sold during the entire sale next January - 11,430
Answer
Column 1 - Row 3
Column 2 - Row 5

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RheaBhatia0302

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Re: Classic Whites runs two seasonal white sales, one in January and one [#permalink]

01 Apr 2023, 12:47

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Classic Whites runs two seasonal white sales, one in January and one in August. Each sale runs for 14 days. The January sale this year sold an average of 3,500 sheet sets per week during its two-week price cut. The August sale exceeded the January sale by an average of 130 sets per day during its two-week price cut, despite the fact that it sold only 1,200 sets during its first week. The event to be held next January is expected to sell a weekly average of 75% of the sheet sets sold during the second week of this year’s August event.

This one seems a bit complex at first glance but I think I've managed to solve it correctly.

To identify the sales amount in the 2nd week of August:

Sales in two weeks of Jan sale this year: 3500*2 = 7000
Daily avg sales: 7000/14 = 500

Sales in 1st week of Aug sale this year: 1200
Let sales in 2nd week of Aug be x.
(1200+ x) / 14 = 630 ---- (since daily avg sales exceeded by 130 --> 500 + 130 = 630)
Therefore x = 7620

Sales in the second week of the Auguest sale this year = 7620

To identify next year's expected Jan sales:
75% of 7620 = 5715

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Catman

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Re: Classic Whites runs two seasonal white sales, one in January and one [#permalink]

02 Apr 2023, 00:10

January sale
Average sale 3500 sheets per week
Total Sheets sold in 2 week sale is (3500*2) = 7,000

August Sale
Increase in comparison to January sales per day is 130
Total Increase for 2 week (14 days) = 130*14 =1820
Total sales in august (January Sale + Increased Sale) = 7000+1820 = 8820
First week August sale=1200
Second week August sale 8820-1200=7,620

Next Year January Sale
Weekly average of 75% of sales in second week august,this is equal to 5,715
Total sales in 2 week for next January is 5715*2 = 11,430

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RuoChen

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Re: Classic Whites runs two seasonal white sales, one in January and one [#permalink]

02 Apr 2023, 01:44

Results:

Aug Second Week = (2*3500) + (130*14) - 1200 = 7620
Next Jan(entire sales) = 7620*0.75*2 = 11430

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TenthCentury

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Re: Classic Whites runs two seasonal white sales, one in January and one [#permalink]

02 Apr 2023, 06:58

This August (second week) = 7620
given:
sheet sets sold per day in January= 3500/7 = 500sets/day
sheet sets sold per day in August = 500+130 = 630sets/day (given- August sale exceeded the January sale by an average of 130 sets per day during its two-week price cut
sheet sets sold in first week of august=1200
sheet sets sold in second week of august= (august average sets sold per day)*(number of days) - (sets sold in first week) = (630*14) - (1200) = 7620.

Next January (entire sales) = 11430
given:
next January is expected to sell a weekly average of 75% of the sheet sets sold during the second week of this year’s August event
next January average weekly sets sold = 75% of (sets sold during second week of august this year) = 75% of ( 7620) = 5715.
next January total sets sold for 2 weeks sale = 5715*2 = 11430.

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pintukr

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Re: Classic Whites runs two seasonal white sales, one in January and one [#permalink]

02 Apr 2023, 07:27

In the table below, identify the number of sheet sets sold in the second week of this year’s August white sale event, and identify the total number of sheet sets that are expected to be sold during the entire sale next January. Make only one selection in each column.

Calculations for Current Year

In January, 3500 per week x 2 weeks = 7500

In August, 3500 + (130 x 7) = 4410 per week
Total (in 2 weeks) = 4410 x 2 = 8820

Given for Week 1 = 1200
so, for Week 2 = 7620

Calculations for Next Year

In January, 0.75 x 7620 = 5715 per week
Total (in 2 weeks) = 5715 x 2 = 11430

So the CORRECT answers
August this year (Week 2) will be 7620
January next year (Complete) will be 11430

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Sajjad1994

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Re: Classic Whites runs two seasonal white sales, one in January and one [#permalink]

02 Apr 2023, 08:39

Expert Reply

Hello Everyone!

Welcome to GMAT Club's IR Quiz-I 2023

OA to this question is posted, it is:

This August (second week): 7,620
Next January (entire sales): 11,430

The competition mode is off now.

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Sajjad1994

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Re: Classic Whites runs two seasonal white sales, one in January and one [#permalink]

06 Apr 2023, 09:34

Expert Reply

Official Explanation

The correct answers are 7,620 sheet sets sold in the second week this August, and 11,430 total sheet sets sold during the entire sale next January.

An average of 3,500 sheet sets was sold per week last January. The sale is two weeks long, so 7,000 sheet sets were sold in last January’s sale. The August event exceeded last January’s total by an average of 130 sheet sets per day. The event runs for 14 days, so August’s sales exceeded January’s sales by 130 × 14, or 1,820 sheet sets. The total for August was 7,000 + 1,820, or 8,820 sheet sets.

The first column asks for the number of sheets sold in the second week of the August event. In the first week, 1,200 sheets were sold, so in the second week this August, 7,620 sheets were sold.

The second column asks for the total number of sheet sets expected to be sold during the entire two-week sale next January. Next January’s event is expected to have a weekly average of about 75% of sheet sets sold during the second week this August, or 0.75 × 7,620 = 5,715. The total sales are expected to be twice that number: 5,715 × 2, or 11,430 sheet sets.

gmatclubot

Re: Classic Whites runs two seasonal white sales, one in January and one [#permalink]

06 Apr 2023, 09:34

This August (second week)	Next January (entire sales)	Sheet sets sold
		3,500
		5,715
		7,620
		8,820
		11,430
		13,335

GMAT Two-part Analysis Questions

Classic Whites runs two seasonal white sales, one in January and one