Q. 3 C
50 villagers had taken 18 days to dig a pond. Let us calculate by using theory of variation how many extra persons will be required to dig the pond is 15 days.
Given: number of villagers (x) = 50
Number of days to dig a pond (y) = 18
Let New number of villagers (x1) = (x1)
New Number of days to dig = 15
As per given condition if the number of days reduced then number of villagers will increases than the previously given. Hence, it is the question of indirect proportion.
i.e. xy = x1y1
or 50 ×18 = 15 × x1
⇒ x1 = 60 days
Hence, 15 villagers will need 60 days.
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