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# What was the population of City X in 2002 ? (1) X's population in 200

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Re: What was the population of City X in 2002 ? (1) X's population in 200 [#permalink]
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Bunuel wrote:
What was the population of City X in 2002 ?

(1) X's population in 2002 increased by 2 percent, or 20,000 people, over 2001.
(2) In 2001, X's population was 1,000,000.

DS99502.01
Quantitative Review 2020 NEW QUESTION

We'll translate the stmts into equations to better understand what we need to do.
This is a Precise approach.

(1) Written as an equation, this is
2002 population = 2001 population *1.02 and 2001 population * 0.02 = 20,000.
This is two equations with two variables -- sufficient.

(2) Written as an equation, this is:
2001 population = 1,000,000.
We have no information on 2002 population -- insufficient.

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Re: What was the population of City X in 2002 ? (1) X's population in 200 [#permalink]

Solution

Steps 1 & 2: Understand Question and Draw Inferences
In this question, we are asked to find the population of city X in 2002.

We do not have much information to infer from, let us move to analyse the statements.

Step 3: Analyse Statement 1
“X's population in 2002 increased by 2 percent, or 20,000 people, over 2001.”
• Percentage increase in population of city X in 2002 over 2001 = 2%
• Increase in population of city X in 2002 over 2001 = 20,000
o Hence, 2% of population of city X in 2001 = 20,000
 Therefore, we can find the population of city X in 2001 and then 2% increase or 20,000 increase will give the population of city X in 2002.

Thus, statement 1 is sufficient to answer the question.

Step 4: Analyse Statement 2
“In 2001, X's population was 1,000,000.”
From this statement, we cannot find the population of city X in 2002.

Thus, statement 2 is not sufficient to answer the question.

Step 5: Combine Both Statements Together (If Needed)
Since we could determine the answer from statement 1 individually, this step is not required.

Hence, the correct answer is option A.

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What was the population of City X in 2002 ? (1) X's population in 200 [#permalink]

Quote:
What was the population of City X in 2002 ?

(1) X's population in 2002 increased by 2 percent, or 20,000 people, over 2001.
(2) In 2001, X's population was 1,000,000.

Could you advise what is incorrect in below approach:

St 1:
X's population in 2002 increased by 2 percent over 2001. -> P(2001) * 1.02 = P(2002)
i.e.
X's population in 2002 increased by 20,000 people over 2001. -> P (2002) = P (2001) + 20,000

Suff.

Unfortunately, hurriedly I too selected C with this thought:
To find a final value, I need initial value and change of %tage or difference hence I need to use St 2.
I could not form two linear eqs of (1) under timed conditions.
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Re: What was the population of City X in 2002 ? (1) X's population in 200 [#permalink]
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Bunuel wrote:
What was the population of City X in 2002 ?

(1) X's population in 2002 increased by 2 percent, or 20,000 people, over 2001.
(2) In 2001, X's population was 1,000,000.

(1) Let, the population of city $$X$$ in 2001 was $$P$$

$$P*\frac{2}{100}=2000$$

$$P=200,000$$

Population in 2002$$=200,000+20,000=220,000$$ Sufficient.

(2) Doesn't give any information to go to the population of 2002. Insufficient.

The answer is $$A$$
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What was the population of City X in 2002 ? (1) X's population in 200 [#permalink]
What was the population of City X in 2002 ?

(1) X's population in 2002 increased by 2 percent, or 20,000 people, over 2001.
(2) In 2001, X's population was 1,000,000.

(1) first info --> pop 2002 = (1+2%) * pop 2001 |   second info --> pop 2002 = pop 2001 + 20,000
2% * pop 2001 = 20,000

pop 2001= 1,000,000
pop 2002 = 1,000,000 + 20,000 = 1,020,000

(2) Not sufficient