A person purchase 1 kg of tomatoes from each of the 4 places at the rate of 1 kg, 2 kg, 3 kg, 4 kg per rupee respectively. On an average, he has purchased x kg of tomatoes per rupee. Then the value of x is.

A. Rs. 1.92

B. Rs. 2

C. Rs. 2.50

D. None of these

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Solution(By Apex Team)

Total quantity purchased = 4 kg Total Money paid $\begin{array}{l}=\text{ Rs. }\left(1+\Large\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\right)\\ =Rs\cdot\Large\frac{25}{12}\\ \text{ Required average }\\ =\left(4\times\Large\frac{12}{25}\right)\mathrm{kg}/\text{ rupee }\\ =\left(\Large\frac{48}{25}\right)\mathrm{kg}/\mathrm{rupee}\\ =1.92\mathrm{~kg}/\text{ rupee }\end{array}$

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