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Explanation:

100 nuts are produced per minute.
∴ Time taken to produce 1000 nuts = 10 minutes.
But the machine needs cleaning for 5 minutes after producing 1000 nuts. Thus effective time taken to produce 1000 nuts = 15 minutes.
Effective time taken to produce 9000 nuts = 9 × 15 – time taken for the last cleaning = 135 – 5 = 130 minutes.

75 bolts are produced per minute.
∴ Time taken to produce 1500 bolts = 20 minutes.
But the machine needs cleaning for 10 minutes after producing 1500 bolts. Thus effective time taken to produce 1500 bolts = 30 minutes.
Effective time taken to produce 9000 bolts = 6 × 30 – time taken for the last cleaning = 180 – 10 = 170 minutes.

Thus time taken to produce 9000 pairs of nuts and bolts = 170 minutes.

Hence, option (c).

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