What was Dadabhai Naoroji's concept of poverty line?
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According to Dadabhai Naoroji, the average poverty line was three-fourth of the adult jail cost of living. The computation of jail cost of living can be understood in the following manner: Adult population $=\frac23$ Food consumed by them $=\frac23\times1=\frac23$ Child population $=1-\frac23=\frac13$ Food consumed by half of the child population,$=\frac13\times\frac12\times0=0$
Food consumed by other half of the child population,$=\frac13\times\frac12\times1\times\frac12=\frac1{12}$
Average poverty line = Total food consumed by adult and child population$=\frac23+0+\frac1{12}=\frac9{12}=\frac34$
So, poverty line is $\frac34\text{th}$ of the adult jail cost of living.
Food consumed by other half of the child population,$=\frac13\times\frac12\times1\times\frac12=\frac1{12}$
Average poverty line = Total food consumed by adult and child population$=\frac23+0+\frac1{12}=\frac9{12}=\frac34$
So, poverty line is $\frac34\text{th}$ of the adult jail cost of living.
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