Q6 of 26 Page 100

42 labourers of a farm at Nasibpur village can cultivate the entire land of the farm in 24 days. But suddenly 6 labourers became ill during the period of cultivation. Let’s work out using the Rule of three method how many days it will take to cultivate the entire land of the farm by the rest of the labourers.

theorem1:- The Rule of Three is a Mathematical Rule that allows you to solve problems based on proportions. By having three numbers: a, b, c,


(a)Direct proportions rule of 3:-


if ab


c then


(b)inverse proportions rule of 3:-


if ab


c then


method used is called indirect or inverse proportions method


formula:- (i)direct method----


(ii)indirect or inverse proportions xy=k


(iii)work done=people x day


given:-


work done=people x day


42x24=1008


again work


work formula=(42-6)xday


1008=36xday


day=28


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