Question

A man buys a plot of agricultural land for * 3,60,000. He sells 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:

Rs.1,29,000

Given:

Man buys plot for 3,60,000

He sells one-third at 20% loss

and two-fifths at 25% profit

To find:

Price must he sell the remaining field at 10% profit

Solution:-

C.P=3,60,000

C.P of one-third plot=

$\frac{1}{3} \times 360000 = 120000$

At loss of 20%

S.P of one-third plot=

$120000 \times (\frac{1 - 20}{100})$

$120000 \times \frac{80}{100} = 96000$

C.P of two-fifth plot=

$\frac{2}{5} \times 360000 = 144000$

At gain of 25%

S.P of two-fifth plot=

$144000 \times( \frac{1 + 25}{100})$

$144000 \times \frac{125}{100} = 180000$

Now

The remaining field sell overall 10% gain

Gain=10%

$s.p =c.p \times (\frac{1 + gain\%}{100})$

$= 360000 \times \frac{110}{100} = 396000$

_________________

S.P of remaining plot=396000-96000-180000

=Rs.1,29,000

Answer 2

ANSWER:-

Given:

A man buys a plot of agricultural land for Rs. 360000. He sells one- third of it at loss of 20% & two - fifth at a gain of 25%.

To find:

What price must be sell the remaining field so as to make an overall profit of 10%?

Solution:

Cost price of the whole plot of agricultural land = Rs. 360000.

Overall profit= 10%

Therefore,

Selling price of the whole plot,

$= > \frac{(100 - gain\%)}{100} \times C.P. \\ \\ = > Rs. \frac{100 + 10}{100} \times 360000 \\ \\ = > Rs. \frac{110}{100} \times 360000 \\ \\ = > Rs.396000$

Cost price of 1/3 of agricultural land;

=) 1/3 × 360000

=) Rs.120000

Loss =20%

Therefore,

Selling price of 1/3 of agricultural land;

$= > \frac{(100 - loss\%)}{100} \times C.P\\ \\ = > Rs. \frac{100 - 20}{100} \times 120000 \\ \\ = > Rs. \frac{80}{100} \times 120000 \\ \\ = > Rs.96000$

Cost price of 2/5 of agricultural land;

=) 2/5 × 360000

=)Rs.144000

So,

Selling price of 2/5 land at 25% gain,

$= > \frac{100 + 25}{100} \times Rs.144000 \\ \\ = > Rs. \frac{125}{100} \times 144000 \\ \\ = > Rs.180000$

Therefore,

he should sell the remaining land for;

=) Rs.396000 - Rs.(96000 + 180000)

=) Rs.396000 - Rs. 276000

=) Rs.120000

Hope it helps ☺️