What is the population of state A in year1999?
I. The population of state A is 1,20,000 in 1997 and it increases 20% every year
II. Population of state A is double the population of state B in 1997

Options

A. If the Statement I alone is sufficient to answer the question but the statement I alone is not sufficient
B. If the Statement II alone is sufficient to answer the question but the statement alone is not sufficient
C. If both Statements I and II together are needed to answer the question
D. If either the statement I alone or Statement II alone is sufficient to answer the question

Answer

To find the population of state A in the year 1999, we can use the information provided in the first statement. Here’s the step-by-step solution:

### Step 1: Identify the initial population
The first statement tells us that the population of state A in 1997 is 1,20,000 (or 1.2 lakhs).

### Step 2: Determine the annual growth rate
The population increases by 20% every year. This means that each year, the population will be multiplied by a factor of 1.20 (which is 100% + 20%).

### Step 3: Calculate the population for the year 1998
To find the population for the year 1998, we take the population from 1997 and increase it by 20%.
\[ \text{Population in 1998} = \text{Population in 1997} \times 1.20 \]
\[ \text{Population in 1998} = 1,20,000 \times 1.20 = 1,44,000 \]

### Step 4: Calculate the population for the year 1999
Next, we calculate the population for the year 1999 using the population from 1998:
\[ \text{Population in 1999} = \text{Population in 1998} \times 1.20 \]
\[ \text{Population in 1999} = 1,44,000 \times 1.20 = 1,72,800 \]

### Conclusion
The population of state A in the year 1999 is 1,72,800.

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