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The price of an item after five consecutive 10% discounts ar
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10 Jun 2018, 04:01
10 Jun 2018, 04:01
2
Expert Reply
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Question Stats:
77% (00:45) correct
22% (00:37) wrong based on 149 sessions
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Quantity A |
Quantity B |
The price of an item after five consecutive 10% discounts are applied |
50% of the price of the item |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: The price of an item after five consecutive 10% discounts ar
[#permalink]
01 Jul 2018, 14:05
01 Jul 2018, 14:05
2
1
Expert Reply
Explanation
Say the item costs $100. After the first 10% discount, the item costs $90. After the second, the item costs $81 (the new discount is only $9, or 10% of 90). After the third discount, the item costs $81 – $8.10 = $72.90.
What is the trend here? The cost goes down with each discount, yes, but the discount itself also gets smaller each time; it is only a $10 discount the very first time. The total of the five discounts, then, will be less than $50.
If the item costs $100 to start, then the value for Quantity B will be $50, or a total discount of $50. This is greater than the total discount described for Quantity A.
Finally, make sure to answer (A) for the higher price—don’t accidentally pick (B) for the “better deal”!
Say the item costs $100. After the first 10% discount, the item costs $90. After the second, the item costs $81 (the new discount is only $9, or 10% of 90). After the third discount, the item costs $81 – $8.10 = $72.90.
What is the trend here? The cost goes down with each discount, yes, but the discount itself also gets smaller each time; it is only a $10 discount the very first time. The total of the five discounts, then, will be less than $50.
If the item costs $100 to start, then the value for Quantity B will be $50, or a total discount of $50. This is greater than the total discount described for Quantity A.
Finally, make sure to answer (A) for the higher price—don’t accidentally pick (B) for the “better deal”!
Re: The price of an item after five consecutive 10% discounts ar
[#permalink]
29 Nov 2019, 00:05
29 Nov 2019, 00:05
3
Let item price = 100$
Quantity A:
100*0.9=90
90*0.9=81
81*0.9=72.9
72.9*0.9=65.61
65.61*0.9=59.049
Quantity B:
100*0.5=50
Quantity A:
100*0.9=90
90*0.9=81
81*0.9=72.9
72.9*0.9=65.61
65.61*0.9=59.049
Quantity B:
100*0.5=50
