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%?
Choose the correct choice from the following options:
A) Rs.1,00,000 B) Rs. 1,15,000 C) Rs. 1,20,000 D) Rs. 1,25,000 E) None of these
Solution: First Method   CP = 3600000.   To gain 10% on whole land, SP = 360000 + 10% of 360000 = Rs. 396000.   1/3 of the land sold on 20% loss.   SP of 1/3 land = (360000/3) - 20% of (360000/3) = Rs. 96000.   SP of 2/5 of the land = (360000 * 2)/5 + 25% of (360000*2)/5 = Rs. 180000.   Thus, SP of the remaining land = 396000 - 96000 - 180000 = Rs. 120000.   Answer: Option Rs. 1,20,000
<result>C</result>
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%?