Question

# The budget for a school band was in 2010 . The budget decreased by from 2010 to 2011 and then increased by from 2011 to 2012 . Which of the following expressions represents the budget, in dollars, for the school band in 2012?

Hint:

**Hint:**

We are given the budget for 2010 and we need to find an expression for the budget in 2012 which is first decreased in 2011 and the increased in 2012. There is a simple rule followed while increasing or decreasing a value by a certain percentage. When we decrease a quantity by x%, we multiply the quantity by (1-0.x). Whereas when we increase a quantity by x%, we multiply it with (1+0.x).

## The correct answer is:

### Given, the budget for the school band in 2010 = 8000$

According to the question, in 2011, the budget for the band decreased by 15%

Hence, the budget for the school band in 2011 = (1-0.15) (8000)

= (0.85) (8000)

It is also given that the budget for the band is increased by 22% in 2012.

So, the budget for the school band in 2012 = (1+0.22) (0.85) (8000)

= (1.22) (0.85) (8000)

Hence, the correct answer is B)

**Note:**

The concept of percentages can be a little tricky. But we just need to remember a few basic things to get going. This is the standard way of finding the value after increasing or decreasing a quantity by a certain percentage

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