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
B
32 machines
C
54 machines
D
31 machines

Solution

## The correct option is A $$49$$ machinesThis question is based on Inverse proprtionAccording to the given conditions,No. of machines       Time taken  $$42$$                              $$63$$ days   $$x$$                               $$54$$ daysBy inversion proportion, $$42 \times 63$$ $$= x \times 54$$$$\therefore x = \dfrac{42 \times63}{54}$$$$\therefore x =49$$Answer is $$49$$ machinesMathematics

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