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प्रश्न
A factory required 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?
उत्तर
Let the number of machines required to produce articles in 54 days be x. The following table is obtained:
| Number of machines | 42 | x |
| Number of days | 63 | 54 |
The more the number of machines, the less number of days that it will take to produce the given number of articles. Thus, this is a case of inverse proportion.
Therefore,
42 × 63 = 54 × x
⇒ `63/54 = x/42`
⇒ `x = (42xx63)/54`
⇒ x = 49
Hence, the required number of machines to produce the given number of articles in 54 days is 49.
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