Question

A man brought a piece of land for rupees 4.5 lakh he sold one fourth of it at the loss of 30% and two fifth of it at the profit of 20% and what price must he sell the remaining part of land so as to make a profit of 10% as a whole​

Answer 1

Answer:

Here we will first find the final selling price of the land so as to make a profit of 10%

. Then we will find the selling price of one-third of the land with the given conditions of loss. Then we will find the value of the two-fifths of the land with the given condition of profit. Further, we will subtract the selling price of one-third of the land and selling price of the two-fifth of the land from the final selling price of the land to get the selling price of the remaining land.

Complete Step by Step Solution:

It is given that a man buys a plot of agricultural land for Rs. 300000.

First, we will find the value of the total selling price of the agricultural land with the profit of 10%

. Therefore, we get

Final selling price of the agricultural area =300000+(10100×300000)=Rs.330000

……………………. (1)

It is given that he sells one-third of the land at a loss of 20%

.

So, we will find the actual price of this land.

Actual price of one-third of the land =13×300000=Rs.100000

Now, we will find the selling price of this one-third of the land.

Selling price of the one-third of the land =100000−(20100×100000)=Rs.80000

…………………… (2)

It is also given that he sells two-fifths at a gain of 25%

. We will find the actual price of this two-fifth of the land, we get

Actual price of two-fifth of the land =25×300000=Rs.120000

So we will find the selling price of this two-fifth of the land. Therefore, we get

Selling price of the two-fifth of the land =120000+(25100×120000)=Rs.150000

……………………

Answer 2

Answer:

Here we will first find the final selling price of the land so as to make a profit of 10%

. Then we will find the selling price of one-third of the land with the given conditions of loss. Then we will find the value of the two-fifths of the land with the given condition of profit. Further, we will subtract the selling price of one-third of the land and selling price of the two-fifth of the land from the final selling price of the land to get the selling price of the remaining land.

$\dag \sf \green{Solution:}$

It is given that a man buys a plot of agricultural land for Rs. 300000.

First, we will find the value of the total selling price of the agricultural land with the profit of 10%

. Therefore, we get

Final selling price of the agricultural area

=> 300000+(10100×300000)

= >Rs.330000

……………………. (1)

It is given that he sells one-third of the land at a loss of 20%

.

So, we will find the actual price of this land.

Actual price of one-third of the land =13×300000=Rs.100000

Now, we will find the selling price of this one-third of the land.

Selling price of the one-third of the land =100000−(20100×100000)=Rs.80000

…………………… (2)

It is also given that he sells two-fifths at a gain of 25%

. We will find the actual price of this two-fifth of the land, we get

Actual price of two-fifth of the land

=25 × 300000 = Rs.120000

So we will find the selling price of this two-fifth of the land. Therefore, we get

Selling price of the two-fifth of the land =120000 + (25100 × 120000) = Rs.150000

……………………

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