Question

A man buys a plot of agricultural land for 3,60,000. He selts one-third of it 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%?​

Answer 1

Answer: 1,20,000

Solution:

CP = 360000

To gain 10% on whole land,

SP = 360000 + 10% of 360000

=Rs. 396000

⅓ of the land sold on 20% loss.

SP of ⅓ land

$= \large(\frac{360000}{3} ) - 20\% \: of \frac{360000}{3}$

= Rs. 96000

SP

$SP \: of \: \large \frac{2}{5} \: of \: the \: land$

$= \large \frac{(360000 \times 2)}{5} + 25\% \: of \: \frac{360000}{5}$

= Rs. 180000

Thus,

SP of the remaining land

= 39600 - 96000 - 180000

= Rs. 120000