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.

Answer :

Given: number of villagers (x) = 50

Number of days to dig a pond (y) = 18

Let New number of villagers (x_{1}) = (x_{1})

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 = x_{1}y_{1}

or 50 ×18 = 15 × x_{1}

⇒ x_{1} = 60 days

Hence, 15 villagers will need 60 days.

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