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If the original price of an item in a retail store is marked

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If the original price of an item in a retail store is marked [#permalink]

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New post 26 Nov 2013, 07:10
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If the original price of an item in a retail store is marked up by m percent and the resulting price is then discounted by d percent, where m and d are integers between 0 and 100, is the item’s final price (after both changes) greater than its original price?

(1) m > d

(2) m = 1.5d

My answer B
[Reveal] Spoiler: OA

Last edited by Bunuel on 26 Nov 2013, 07:12, edited 1 time in total.

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Re: If the original price of an item in a retail store is marked [#permalink]

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If the original price of an item in a retail store is marked up by m percent and the resulting price is then discounted by d percent, where m and d are integers between 0 and 100, is the item’s final price (after both changes) greater than its original price?

Say the original price is 100.
The price after the mark up = \(100(1+\frac{m}{100}) = 100 + m\);
The price after the discount = \((100+m)(1-\frac{d}{100}) = 100-d+m-\frac{md}{100}\);

The questions asks: is \(100-d+m-\frac{md}{100}>100\)? --> is \(100m-100d-md>0\)

(1) m > d. If \(m=3\) and \(d=2\), then the answer is YES nut if but if \(m=60\) and \(d=40\), then the answer is NO. Not sufficient.

(2) m = 1.5d. Use the same numbers as above. Not sufficient.

(1)+(2) Use the same numbers. Not sufficient.

Answer: E.

Hope it's clear.
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Re: If the original price of an item in a retail store is marked [#permalink]

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New post 26 Nov 2013, 07:59
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Bunuel wrote:
If the original price of an item in a retail store is marked up by m percent and the resulting price is then discounted by d percent, where m and d are integers between 0 and 100, is the item’s final price (after both changes) greater than its original price?

Say the original price is 100.
The price after the mark up = \(100(1+\frac{m}{100}) = 100 + m\);
The price after the discount = \((100+m)(1-\frac{d}{100}) = 100-d+m-\frac{md}{100}\);

The questions asks: is \(100-d+m-\frac{md}{100}>100\)? --> is \(100m-100d-md>0\)

(1) m > d. If \(m=3\) and \(d=2\), then the answer is YES nut if but if \(m=60\) and \(d=40\), then the answer is NO. Not sufficient.

(2) m = 1.5d. Use the same numbers as above. Not sufficient.

(1)+(2) Use the same numbers. Not sufficient.

Answer: E.

Hope it's clear.


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Re: If the original price of an item in a retail store is marked [#permalink]

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New post 12 Apr 2014, 11:17
Bunuel wrote:
If the original price of an item in a retail store is marked up by m percent and the resulting price is then discounted by d percent, where m and d are integers between 0 and 100, is the item’s final price (after both changes) greater than its original price?

Say the original price is 100.
The price after the mark up = \(100(1+\frac{m}{100}) = 100 + m\);
The price after the discount = \((100+m)(1-\frac{d}{100}) = 100-d+m-\frac{md}{100}\);

The questions asks: is \(100-d+m-\frac{md}{100}>100\)? --> is \(100m-100d-md>0\)

(1) m > d. If \(m=3\) and \(d=2\), then the answer is YES nut if but if \(m=60\) and \(d=40\), then the answer is NO. Not sufficient.

(2) m = 1.5d. Use the same numbers as above. Not sufficient.

(1)+(2) Use the same numbers. Not sufficient.

Answer: E.

Hope it's clear.



Hi Bunuel,
Just to confirm, the formula for 3 variables.
For 3 items
+m , +d, -x
then will it be ...

= 100+m+d-x -(mdx/100)
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Re: If the original price of an item in a retail store is marked [#permalink]

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New post 12 Apr 2014, 12:53
seabhi wrote:
Bunuel wrote:
If the original price of an item in a retail store is marked up by m percent and the resulting price is then discounted by d percent, where m and d are integers between 0 and 100, is the item’s final price (after both changes) greater than its original price?

Say the original price is 100.
The price after the mark up = \(100(1+\frac{m}{100}) = 100 + m\);
The price after the discount = \((100+m)(1-\frac{d}{100}) = 100-d+m-\frac{md}{100}\);

The questions asks: is \(100-d+m-\frac{md}{100}>100\)? --> is \(100m-100d-md>0\)

(1) m > d. If \(m=3\) and \(d=2\), then the answer is YES nut if but if \(m=60\) and \(d=40\), then the answer is NO. Not sufficient.

(2) m = 1.5d. Use the same numbers as above. Not sufficient.

(1)+(2) Use the same numbers. Not sufficient.

Answer: E.

Hope it's clear.



Hi Bunuel,
Just to confirm, the formula for 3 variables.
For 3 items
+m , +d, -x
then will it be ...

= 100+m+d-x -(mdx/100)


Hello -
If you mean (100+m)(1+d/100)(1-x/100), then obviously it is not equal to 100+m+d-x - mdx/100

Letme know if you meant something else.
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Re: If the original price of an item in a retail store is marked [#permalink]

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New post 19 Jan 2015, 00:20
Bunuel wrote:
If the original price of an item in a retail store is marked up by m percent and the resulting price is then discounted by d percent, where m and d are integers between 0 and 100, is the item’s final price (after both changes) greater than its original price?

Say the original price is 100.
The price after the mark up = \(100(1+\frac{m}{100}) = 100 + m\);
The price after the discount = \((100+m)(1-\frac{d}{100}) = 100-d+m-\frac{md}{100}\);

The questions asks: is \(100-d+m-\frac{md}{100}>100\)? --> is \(100m-100d-md>0\)

(1) m > d. If \(m=3\) and \(d=2\), then the answer is YES nut if but if \(m=60\) and \(d=40\), then the answer is NO. Not sufficient.

(2) m = 1.5d. Use the same numbers as above. Not sufficient.

(1)+(2) Use the same numbers. Not sufficient.

Answer: E.

Hope it's clear.






Hi Bunuel

What suppose if the Question does not mention that m & d are integers. In such a case m & d can even be decimals. Still the answer would be E correct?

Thanks

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Re: If the original price of an item in a retail store is marked [#permalink]

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New post 19 Jan 2015, 01:52
buddyisraelgmat wrote:
Bunuel wrote:
If the original price of an item in a retail store is marked up by m percent and the resulting price is then discounted by d percent, where m and d are integers between 0 and 100, is the item’s final price (after both changes) greater than its original price?

Say the original price is 100.
The price after the mark up = \(100(1+\frac{m}{100}) = 100 + m\);
The price after the discount = \((100+m)(1-\frac{d}{100}) = 100-d+m-\frac{md}{100}\);

The questions asks: is \(100-d+m-\frac{md}{100}>100\)? --> is \(100m-100d-md>0\)

(1) m > d. If \(m=3\) and \(d=2\), then the answer is YES nut if but if \(m=60\) and \(d=40\), then the answer is NO. Not sufficient.

(2) m = 1.5d. Use the same numbers as above. Not sufficient.

(1)+(2) Use the same numbers. Not sufficient.

Answer: E.

Hope it's clear.






Hi Bunuel

What suppose if the Question does not mention that m & d are integers. In such a case m & d can even be decimals. Still the answer would be E correct?

Thanks


Yes, the answer would still be E.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: If the original price of an item in a retail store is marked [#permalink]

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Re: If the original price of an item in a retail store is marked [#permalink]

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New post 10 Jun 2016, 10:55
singhmaharaj wrote:
If the original price of an item in a retail store is marked up by m percent and the resulting price is then discounted by d percent, where m and d are integers between 0 and 100, is the item’s final price (after both changes) greater than its original price?

(1) m > d

(2) m = 1.5d

My answer B

Both the given options were same in which it states that m>d
Final markup/discount is given as m-d-md/100
consider any small number m=2,d=1
then ans will be yes.
consider bigger values m=700,d=600
Ans will be No
both statements not suff....

Ans E

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Re: If the original price of an item in a retail store is marked [#permalink]

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New post 06 Aug 2017, 12:22
Hello from the GMAT Club BumpBot!

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Re: If the original price of an item in a retail store is marked   [#permalink] 06 Aug 2017, 12:22
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