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# 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.**

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