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Hi All,

We're told that a department store receives a shipment of 1,000 shirts, for which it pays $9,000. The store sells the shirts at a price 80 percent above cost for one month, after which it reduces the price of the shirts to 20 percent above cost. The store sells 75 percent of the shirts during the first month and 50 percent of the REMAINING shirts afterward. We're asked to find the total gross income that the shirts generated. This question includes a lot of details, but it's essentially just about doing the necessary Arithmetic and staying organized.

To start, since we paid $9,000 for 1,000 shirts, the shirts cost $9/each
80% above that cost = (1.8)($9) = $16.20
20% above that cost = (1.2)($9) = $10.80

75% of the shirts = 750 shirts
50% of the REMAINING 250 shirts = 125 shirts

Total revenue = ($16.20)(750) + ($10.80)(125)

The answer choices are sufficiently 'spread out' that we can 'round off' the prices in the above calculation:

Total revenue = ($16)(750) + ($11)(125) =
approx. $12000 + $1375 =
approx. $13,375
There's only one answer that's close...

Final Answer:

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As the data given, Total shirt =1000

Cost price of 1000 shirt=$9000

Cost price of one shirt=9000/1000=$9

First month, Selling price of one Shirt=9+9 of80%=$81/5

75%shirt =1000 of 75%=1000x75/100=750

Remaining Shirt =(1000-750)=250

Income of first month =750x81/5= $12150

After one month, price of shirt =9+9 of 20%=$ 54/5

Remaining shirt=250

50%of remaining shirt=250 of 50%=125

Selling price of 125 shirt=125x54/5=$1350

Gross income =Income of first month +Income of remaining month=12150+1350=$13500

Answer:$13500

# learning from Mr. Yusuf Ali.

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As the data given, Total shirt =1000

Cost price of 1000 shirt=$9000

Cost price of one shirt=9000/1000=$9

First month, Selling price of one Shirt=9+9 of80%=$81/5

75%shirt =1000 of 75%=1000x75/100=750

Remaining Shirt =(1000-750)=250

Income of first month =750x81/5= $12150

After one month, price of shirt =9+9 of 20%=$ 54/5

Remaining shirt=250

50%of remaining shirt=250 of 50%=125

Selling price of 125 shirt=125x54/5=$1350

Gross income =Income of first month +Income of remaining month=12150+1350=$13500

Answer:$13500

# learning from Mr. Yusuf Ali.

Posted from my mobile device
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1,000 shirts = $9,000
=> Price of 1 shirt = $9

The store sells 75 percent of the shirts (first month): 75% means \(\frac{3}{4}\)\({th}\) ,Hence, \(\frac{3}{4}\) * 1000 =750 ----> Remaining number of shirts :1000-750=250

The store sells 50 percent of the remaining shirts afterward: 50% means \(\frac{1}{2}\) ,Hence, \(\frac{1}{2}\) * 250 = 125.

First-month selling price: 80% above cost for one month(It will be for per shirt): \(\frac{180}{100} \)* 9 = $16.2

Second month selling price: 20% above cost: \(\frac{120}{100} \)* 9 = $10.8

Total sales : 750*16.2 + 125*10.8 = 12,150 + 1350 = $13,500

Answer D
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