Question

if cp is rupees 3,84,000 and sp is two fifth of cp at loss of 6%, how can we sold the remaining land to gain profit of 10%?​

Answer 1

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

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

So, The price is

Remaining land is

In order to sell the land at net 10%gain he should sell the of the remaining land at Rs.422400-144384=Rs.278016

Let g be the percentage gain to sell the remaining land

Therefore, The gain in percentage is 20.66%.

atatep-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

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

So, The price is

Remaining land is

In order to sell the land at net 10%gain he should sell the of the remaining land at Rs.422400-144384=Rs.278016

Let g be the percentage gain to sell the remaining land

Therefore, The gain in percentage is 20.66%.

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Answer 2

$\huge\underline\bold\red{AnswEr}$

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. hyy

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%.