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Thank you all for your input
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ManshaSwarup
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for focused adition

edition

how are people practicing

there are 2 mocks only
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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. How much gross income did sales of the shirts generate?

(A) $10,000
(B) $10,800
(C) $12,150
(D) $13,500
(E) $16,200
Hey! I see this question wants gross income( gross income means total revenue minus cost of goods sold/buying price), but why the questioner gave options of gross revenue instead of gross income?

Anyone can explain this?
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yes the answer is d but my question, Is it gross income? isn’t it Gross revenue/ Gross sales ?
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In my opinion, they have taken simple definition of gross income which is earning - tax.
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mehasanimam
Anyone can explain this?
CP= $9, SP=16.2, next month CP=10.8 as 20% above cost. First month sale= 750x16.2= 12150, Second month 10.8 percent sold- 10.8x125=1350, Total Sale= 12150+1350= 13500. Hope that helps!
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No. of shirts = 1,000
Total cost = $9,000
Cost per shirt = $9

Price for Month 1 (M1) = 9 + 80% of 9 = $16.20
Total shirts sold in M1 = 75% of 1,000 = 750 shirts
total income from sale of shirts for M1 = 750 x $16.20= 12,150

Similarly Price of Month 2 (M2)= 9+ 20% of 9 = $10.8
Totals **** sold in M2 = half of the remaining = 250/2 = 125
Total income for M2= 125 x 10.8 = 1,350

Total gross income = 12,150 + 1,350 = 13,500 = (D)

mehasanimam
yes the answer is d but my question, Is it gross income? isn’t it Gross revenue/ Gross sales ?
So the question is specific to the sale of the shirts and does not ask to calculate the profit
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mehasanimam
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. How much gross income did sales of the shirts generate? (A) $10,000 (B) $10,800 (C) $12,150 (D) $13,500 (E) $16,200 Hey! I see this question wants gross income( gross income means total revenue minus cost of goods sold/buying price), but why the questioner gave options of gross revenue instead of gross income?
D

Cost price of 1 shirt is $9

Shirts sold in first month = 750
Price of shirts sold in first month = 9 + 7.2 = $16.2

Income for the first month = 750*16.2 = $12,150


Remaining shirts = 250


Shirts sold in second month = 1/2 * 250 = 125
Price of shirts sold in second month = 9 + (20% of 9)
= 9 + 1.8
= $10.8

Income in second month = 10.8 * 125
= 1350

Total income after 2 months = 12,150 + 1,350

= $13,150
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Hello, is there anyway I can easily checkout the past question of the day questions - without scrolling.
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If W = 63^33 × 36^195, what is the remainder of W/10?
1. 3
2. 5
3. 6
4. 8
5. 9
Hey! Can anyone explain me this. In my understanding unit digit of 63^33 must be 7, 36^195 is 6. which gives 42 and the reminder will be 2. But, the answer is wrong. Help me out. Thanks
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Unit digit of 63^33 would be 3. As 63^(4k+1). K is 9 and cyclicity of 3 is 4. Therefore unit digit will be 3. When 3 is multiplied with 6 of 36^195, you get 8 as unit digit. Thus, answer should be 8. Let me know if it’s right.
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mehasanimam
yes the answer is d but my question, Is it gross income? isn’t it Gross revenue/ Gross sales ?
All of these mean the same here.
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Ankyt13
Unit digit of 63^33 would be 3. As 63^(4k+1). K is 9 and cyclicity of 3 is 4. Therefore unit digit will be 3. When 3 is multiplied with 6 of 36^195, you get 8 as unit digit. Thus, answer should be 8. Let me know if it’s right.
Yes, the answer is 8. However, I thought getting 3cube and 6^5 would get the answer.
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ashish.sharma
Yes, the answer is 8. However, I thought getting 3cube and 6^5 would get the answer.
I also learnt it the hard way brother. The unit digit of 3^3 and 3^33 is not the same. And it applies to all the numbers with greater than 1 cyclicity. So better to check.
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Hi! Can someone pls explain how can the answer be E and not B. If we solve B then we are getting a fixed answer NO, so that means it’s sufficient
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Inspirestella
Hi! Can someone pls explain how can the answer be E and not B. If we solve B then we are getting a fixed answer NO, so that means it’s sufficient
When solving 2nd option we are not getting a fixed answer since there can be two cases.
One where x<-1 or x>1. In the first case the given equation is not true but when x>1 there are cases where that is true. For example consider x=1.1
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I didn’t try with decimals, directly started with 2 for the second case

Thank you
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