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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