Population of a city in 2004 was 1000000. If in 2005 there is an increment of 15%, in 2006 there is a decrement of 35% and in 2007 there is an increment of 45%,then find the population of city at the end of year 2007.

Answer

To find the population of the city at the end of the year 2007, we will follow these steps:

### Step 1: Calculate the population for 2005
The population in 2004 is 1,000,000. There is a 15% increment in 2005.

**Calculation:**
- Increment = 15% of 1,000,000
- Increment = (15/100) * 1,000,000 = 150,000

**New Population in 2005:**
- Population in 2005 = 1,000,000 + 150,000 = 1,150,000

### Step 2: Calculate the population for 2006
The population in 2005 is 1,150,000. There is a 35% decrement in 2006.

**Calculation:**
- Decrement = 35% of 1,150,000
- Decrement = (35/100) * 1,150,000 = 402,500

**New Population in 2006:**
- Population in 2006 = 1,150,000 - 402,500 = 747,500

### Step 3: Calculate the population for 2007
The population in 2006 is 747,500. There is a 45% increment in 2007.

**Calculation:**
- Increment = 45% of 747,500
- Increment = (45/100) * 747,500 = 336,375

**New Population in 2007:**
- Population in 2007 = 747,500 + 336,375 = 1,083,875

### Final Answer:
The population of the city at the end of the year 2007 is **1,083,875**.

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