# Word Problem

**Problem : During the first year the population of a town increases by 4% and during second year it diminished by 4%. Tf at the end of the second year its population was 2496 then initially the population was;**

**a. 2400 b. 2550 c. 25000 d. 2500**

**basic arithmetic test for jobs, workplace math tests –**

**Solution :**

**Increase Case**

Here,

Let us suppose;

y= population at the start of first year=?

R= rate of increase =4%

A=Population at the end of first year=?

T= Time duration in year=1

Since this is case of increase – we use +ve formula

**Decrease Case**

Population diminish in the second year. Here,

(Since population at the end of the first year is now initial population for the second year ! )

R= Rate of decrease =4%

T= Time in years= 1

A=2496 (population at the end of second year)

Since this is case of decrease – we use -ve formula;

Putting values of variables for second year;

But A=2496

So, the population at the beginning of first year was 2500