A farmer purchased a piece of land for ₹ 150000. He sold one third of it at a loss of 6% . At what profit per cent should he sell the remaining piece of land in order to gain 10%on the whole land ?

Open in App

Solution

Method 1:

Cost of one third of land=150000/3 = 50000 Rs
**At 6% loss sale price=5000094/100 =47000 Rs
To get 10% profit the final sale price =150000110/100=165000 Rs
He has to sale 2/3 of land at 165000 - 47000 =118000 rs
Purchase price of 2/3 land =1500002/3 = 100000
The gain % = (118000-100000)100/100000=18%
He has to sale remaining land at 18% profit**.

Method 2:
10% of Rs. 150000= Rs. 15000
So, total selling price = 150000+15000=Rs.1,65,000
Cost price of 1/3rd of of the land is 1,50,000/3=50,000.

6% of 50,000=Rs. 3000
Selling price of1/3rd of land = 50000-3000=Rs. 47000
The cost price of remaining piece of land = 1,50,000-50000=1,00,000
Selling price of ramaining land must be =1,65,000-47000=118000
Gain = 118000-100000=Rs. 18000

Gain %= gain/cost price * 100 = 18000/100000 * 100=18%

Suggest Corrections

Similar questions

Q. Gaurav bought a piece of land for ₹1,00,000.He sold 1/4th of the land at a loss of 5%, What should be the selling price of the remaining land so that gaurav makes a profit of 15% on the whole deal ????

Q. Ahmed buys a plot of land for ₹ 480000. He sells of it at a loss of 6%. At what gain per cent should he sell the remaining part of the plot to gain 10% on the whole?

Q. Ahmed buys a plot of land for ₹480000.He sells 2/5of it at loss of 6% . At what gain per cent must the remaining sugar be sold to have a gain of 12% on the whole.

A man buys a plot of land at $R s . 3, 60, 000$ . He sells one third of the plot at a loss of $20 %$ . Again, he sells one-third of the plot left at a profit of $25 %$ . At what price should he sell the remaining plot in order to get a profit of $10 %$ on the whole?

Q. A man buys a plot of land at

R s 3, 00, 000 .

He sells one third of the plot at a loss of 20

%

. Again, he sells two -fifth of the plot left at a profit of 25

% .

At what price should he sell the remaining plot in order to get a profit of 10

%

on the whole?

Join BYJU'S Learning Program