The production of an article in a factory grows at a rate of 4 % per month. If the production in the month of June is 5408 articles, what were the number of articles produced in the month of April?

Given :

The production of an article in a factory grows at a rate of 4 % per month.  

The production in the month of June = 5408 articles.

To find :

We have to find the number of articles produced in April.

Solution :

Let the production in the month of April be x.

This implies,

Production in the month of May $= x+ \frac{4}{100} \times x = \frac{104}{100} x$

Production in the month of June $= \frac{104}{100} x + \frac{4}{100}(\frac{104}{100} x)$

                                                            $= \frac{104}{100} \times (1 + \frac{4}{100})$

                                                            $= \frac{104}{100}(\frac{104}{100}) x$

Therefore,

 $= \frac{104}{100}(\frac{104}{100}) x = 5408$

$x = 5408 \times 100 \times \frac{100}{(104X104)}$

$x = 5000$

The number of articles produced in April is 5000.