## OGQR 2020: Question No. 209

What was the population of City X in 2002?

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

Source | OGQR 2020 |

Type | Data Sufficiency |

Topic | Word Problems |

Sub-Topic | Percentages |

Difficulty | Medium |

### Solution

__Steps 1 & 2: Understand Question and Draw Inferences__

__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__

__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
- 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.

- Hence, 2% of population of city X in 2001 = 20,000

Thus, statement 1 is sufficient to answer the question.

__Step 4: Analyse Statement 2__

__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)__

__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.