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Question

A factory requires $$42$$ 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?


A
49 machines
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B
32 machines
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C
54 machines
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D
31 machines
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Solution

The correct option is A $$49$$ machines
This question is based on Inverse proprtion
According to the given conditions,
No. of machines       Time taken
  $$42$$                              $$63$$ days
   $$x$$                               $$54$$ days

By inversion proportion, 
$$42 \times 63$$ $$= x \times 54$$

$$\therefore x = \dfrac{42 \times63}{54}$$

$$\therefore x =49$$

Answer is $$49$$ machines

Mathematics

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