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1. 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

Solution:

Total quantity purchased = 4 kg
Total Money paid

\begin{aligned} = Rs . (1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4}) \\ = Rs . \frac{25}{12} \end{aligned}

∴ Required average

\begin{aligned} = (4 \times \frac{12}{25}) kg/rupee \\ = (\frac{48}{25}) kg/rupee \\ = 1.92 kg/rupee \end{aligned}

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