A man buys a plot of land for rs 72000. He sells 1/3rd of the land at a loss of 20% and 2/5th at a gain of 25%. At what price must he sell the remaining land so as to make an overall profit of 10%?
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Answers
2/5*72000=28800*125%=36000.
he have to make a profit of 72000* 10%=7200, 72000+
7200- ( 19200+36000)=24000. so remaining
land sold at Rupees 24000.
I hope it help you
Given, cost price of the land = 72000.
(i)
Given that he sells 1/3 of the land = (1/3) * 72000
= (1/3) * 72000
= 24000.
Loss = 20%.
We know that Selling price = [(100 - loss%)/100] * CP
= (80 * 24000)/100
= 19200.
(ii)
Given that he sells 2/5 of the land = (2/5) * 72000
= 2 * 14400
= 28800.
Gain = 25%.
We know that Selling price = [(100 + Gain%)/100] * CP
= (125 * 28800)/100
= 36000.
(iii)
Given overall profit is 10%.
Now, Profit = 110% of 72000
= (10/100) * 72000
= 7200.
Hence, the total selling price should be 72000 + 7200 = 79200
So, the total selling price of two parts of land sold = 36000 + 19200 = 55200.
Hence, Selling price of remaining land = 79200 - 55200
⇒ 24000.
Therefore, Selling price of the remaining land = 24000.
Hope this helps!