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The percentage of households with an annual income of more

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Re: The percentage of households with an annual income of more  [#permalink]

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New post 18 Oct 2017, 01:15
Scenario:

Merton has 1 person who earns $1 per year and 6 people who earn $61,000 per year.
% = 85.8

Sommer has 1 person who earns $1 per year and 10 people who earn $61,000 per year.
% = 90.9

Now how is option C valid?
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Re: The percentage of households with an annual income of more  [#permalink]

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New post 28 Oct 2017, 06:58
dejavu619 wrote:
Scenario:

Merton has 1 person who earns $1 per year and 6 people who earn $61,000 per year.
% = 85.8

Sommer has 1 person who earns $1 per year and 10 people who earn $61,000 per year.
% = 90.9

Now how is option C valid?


Hi dejavu619,

You missed a key portion of the argument. The question stem states that Merton county has the highest percentage of households with an income greater than $40,000. If you account for this in your equation above, you will see C to be the answer.

To do the math: Merton has the highest % of households with 40,000 + income; Sommer has greatest % of 60,000 + income. Given this, we can safely show that SOME (even 1) have an income greater than 40,000, but less than 60,000 in Merton.

Does this help?
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Re: The percentage of households with an annual income of more  [#permalink]

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New post 28 Oct 2017, 22:43
nightblade354 wrote:
dejavu619 wrote:
Scenario:

Merton has 1 person who earns $1 per year and 6 people who earn $61,000 per year.
% = 85.8

Sommer has 1 person who earns $1 per year and 10 people who earn $61,000 per year.
% = 90.9

Now how is option C valid?


Hi dejavu619,

You missed a key portion of the argument. The question stem states that Merton county has the highest percentage of households with an income greater than $40,000. If you account for this in your equation above, you will see C to be the answer.

To do the math: Merton has the highest % of households with 40,000 + income; Sommer has greatest % of 60,000 + income. Given this, we can safely show that SOME (even 1) have an income greater than 40,000, but less than 60,000 in Merton.

Does this help?


The scenario I have posted doesn't prevent Merton from having the highest % of households with 40,000+ income. There doesn't need to be anyone between 40k - 60k for Merton to have the highest % of households with 40,000+ income.
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Re: The percentage of households with an annual income of more  [#permalink]

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New post 29 Oct 2017, 06:43
dejavu619,

The percentage of households with an annual income of more than $40,000 is higher in Merton County than in any other county. However, the percentage of households with an annual income of $60,000 or more is higher in Sommer County.

Where do you address the first line? According to your math, only Sommer county has a higher average of $60,000 + residents. How do you account for the greater percentage of $40,000 residents in Merton? Your math only accounts for one of the premises, but not both together.

Does this help?
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Re: The percentage of households with an annual income of more  [#permalink]

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New post 29 Oct 2017, 08:43
nightblade354 wrote:
dejavu619,

How do you account for the greater percentage of $40,000 residents in Merton?


A country can have highest % of people earning more than $40,000 without having any citizens between 40k-60k. For instance, $66,000 comes under the "higher than $40,000" category (as well as higher than $60,000 category), doesn't it?
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Re: The percentage of households with an annual income of more  [#permalink]

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New post 29 Oct 2017, 08:57
dejavu619 wrote:
nightblade354 wrote:
dejavu619,

How do you account for the greater percentage of $40,000 residents in Merton?


A country can have highest % of people earning more than $40,000 without having any citizens between 40k-60k. For instance, $66,000 comes under the "higher than $40,000" category (as well as higher than $60,000 category), doesn't it?


It does, but your scenario only accounts for ONE of the premises. Both premises, under your scenario, cannot be true. You need someone in the 40-60k range to make your scenario fit the bill.

Your scenario:

Merton has 1 person who earns $1 per year and 6 people who earn $61,000 per year.
% = 85.8

Sommer has 1 person who earns $1 per year and 10 people who earn $61,000 per year.
% = 90.9

In your example, Sommer has a great percentage of people who make more than $40,000. The premise states that Merton has the highest percentage. Do you see the difference? You only account for the second premise.

Does this help clarify any further?
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Re: The percentage of households with an annual income of more  [#permalink]

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New post 31 Oct 2017, 04:21
nightblade354 wrote:
dejavu619 wrote:
nightblade354 wrote:
dejavu619,

How do you account for the greater percentage of $40,000 residents in Merton?


A country can have highest % of people earning more than $40,000 without having any citizens between 40k-60k. For instance, $66,000 comes under the "higher than $40,000" category (as well as higher than $60,000 category), doesn't it?


It does, but your scenario only accounts for ONE of the premises. Both premises, under your scenario, cannot be true. You need someone in the 40-60k range to make your scenario fit the bill.

Your scenario:

Merton has 1 person who earns $1 per year and 6 people who earn $61,000 per year.
% = 85.8

Sommer has 1 person who earns $1 per year and 10 people who earn $61,000 per year.
% = 90.9

In your example, Sommer has a great percentage of people who make more than $40,000. The premise states that Merton has the highest percentage. Do you see the difference? You only account for the second premise.

Does this help clarify any further?


Yes, I realized my folly. Thanks a lot for your patience and explanation :)
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Re: The percentage of households with an annual income of more  [#permalink]

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New post 31 Oct 2017, 05:12
dejavu619,

No worries! The fact that you understand where you went wrong is an important part of learning. If you have any other questions, please let me know! Happy studying and Happy Halloween!
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Re: The percentage of households with an annual income of more &nbs [#permalink] 31 Oct 2017, 05:12

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