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Q. A person purchases one $kg$ of tomatoes from each of the four places at the rate of $1\, kg , 2\, kg , 3\, kg \& 4$ $kg$ per rupee respectively. On the average he has purchases $x\, kg$ of tomatoes per rupees, then the vlaue of $x$ is

Sequences and Series

Solution:

Average rate $x$ kg per rupee $=\frac{4}{\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}}$
$=\frac{4 \times 12}{12+6+4+3}=\frac{48}{25}=1.92\, kg$ per rupee