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There are 10 cartons are kept in a godown. Each carton contains equal number of packets of matchsticks. In each packet there are 30 small boxes of matchstick and total number of boxes of matchsticks are 3600. How many packets are there in one carton?

There are 10 cartons are kept in a godown. Each carton contains equal number of packets of matchsticks. In each packet there are 30 small boxes of matchstick and total number of boxes of matchsticks are 3600. How many packets are there in one carton? Correct Answer 12

Total number of boxes of matchsticks = 3600

Total number of cartons = 10

Let the number of packets in one carton be x.

⇒ Number of packets in 10 cartons = 10x.

Number of boxes of matchstick in a packet = 30

⇒ Number of boxes of matchstick in 10x packets = 30(10x) = 300x

So, we have:

Total number of boxes = Number of boxes of matchstick in 10x packets

⇒ 300x = 3600

⇒ x = 12

Hence, there are 12 packets in a carton.

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