30 members of Pahalampur co-operative and agricultural farm have harvested half of the paddy field in 5 days. But suddenly 5 members are unable to join in the work due to ill health from the next day. Let's calculate in proportion and find relation of how many days will be needed to harvest the rest of the paddy.

Given: 30 people harvested half of the paddy field in 5 days, and 5 people stop working from 6^th day due to ill health

To find how many days will be needed to harvest the rest of the paddy

Here we need to apply inverse proportion as the number of workers decreases, the time taken to finish the job must increase,

so 30 people harvested half of the paddy field in 5 days

⇒ total amount of work in half field = 30×5………(i)

From 6^th day we have 30-5=25 members to harvest the other half of the field. Let the number of days needed to harvest the rest of the paddy = x, then

⇒ total amount of work in the other half of field = 25×(x)………(ii)

Now in both cases half of the field is harvested, ie., amount of work is equal. And, hence proportion (i) and proportion (ii) should be equal, so we get the following relation,

⇒ 30×5=25×(x)

⇒

So, vcNumber of days needed to harvest the rest of the paddy by 25 members = 6 days