Question

a man buys a piece of land for rupees 384000. he sells two fifths of it at a loss of 6% .at what gain per cent should he sell the remaining piece of land to gain 10% on the whole ?

Answer 1

That's your answer . I did it in notebook 'cause it was a big one .

Answer 2

Answer:

The gain in percentage is 20.66%.                      

Step-by-step explanation:

Given : A man buys a piece of land for rupees 384000. He sells two fifths of it at a loss of 6% .

To find : At what gain per cent should he sell the remaining piece of land to gain 10% on the whole ?

Solution :

The cost price of the land is Rs.384000.

Let the selling price of the land is Rs.x.

He sells two fifths of it at a loss of 6% .

The selling price is $SP=CP[\frac{100-L\%}{100}]$

$x=\frac{2}{5}\times 384000[\frac{100-6}{100}]$

$x=\frac{2}{5}\times384000[\frac{94}{100}]$

$x=\frac{2}{5}\times 384000\times \frac{94}{100}$

$x=144384$

When there is 10% gain on the whole he should sell at Rs.384000.

So, The price is $384000+\frac{10}{100}\times 384000=422400$

Remaining land is $1-\frac{2}{5}=\frac{3}{5}$

In order to sell the land at net 10%gain he should sell the $\frac{3}{5}$ of the remaining land at Rs.422400-144384=Rs.278016

Let g be the percentage gain to sell the remaining land

$\frac{3}{5}\times 384000+\frac{g}{100}\times\frac{3}{5}\times 384000=278016$

$\frac{g}{100}\times\frac{3}{5}\times 384000=47616$

$g=20.66%$

Therefore, The gain in percentage is 20.66%.