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A man buys a field of agricultural land for Rs. 3,60,000. He sells one-third at a loss of 20% and two-fifths at a gain of 25%. At what price must he sell the remaining field so as to make an overall profit of 10%?

A. Rs.1,00,000 B. Rs. 1,15,000 C. Rs. 1,20,000 D. Rs. 1,25,000 Answer: Option C
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Solution(By Apex Team)

$\begin{array}{l}\text{CP}=360000\\ \text{To gain 10% on whole land,}\\ \text{SP}=360000+10\%\text{ of }360000\\ \quad=\text{ Rs. }396000\\ \frac{1}{3}\ \text{of the land sold on 20% loss.}\\ \text{SP}\ \text{of }\frac{1}{3}\text{land}\\ =\frac{360000}{3}-20\%\ \text{of}\ \frac{360000}{3}\\ =\text{Rs.}\ 96000\\ \text{SP of }\frac{2}{5}\text{of the land}\\ =360000\times\frac{2}{5}+25\%\ \text{of}\ 360000\times\frac{2}{5}\\ =\text{Rs.}\ 180000\\ \text{Thus,}\\ \text{SP of the remaining land}\\ =396000-96000-180000\\ =\text{Rs.}\ 120000\end{array}$

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