Question

4 men can make 4 cupboards in 4 days. How many cupboards can 14 men make in 14 days. A question of direct and inverse propertion

Answer 1

Here 4 men can make 4 cupboards in 4 days.

4 men can make 1 cupboard in 1 day.

1 men can make 1/4 cupboard in 1 day.

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so 14 men can make in 1 day is 14* 1/4 cupboard.

and 14 men can make in 14 days is 7*7 cupboards.

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Thus, 14 men can make 49 cup boards in 14 days.

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4:14 members = 4:14 days = 4: x cupboards.

Here days are directly proportional to cupboards made.

and Number of members are indirectly proportional.

So inverse ratio of 4:14 is 14:4

14:4= 4:14/4:x


14/4= 4/14*x/4

14/4=x/14

196/4 = x

x =49 Cup boards.

Answer 2

49

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