Question

A man sell a plot of land at 8% profit.if he had sold it at 15 % profit he would have received rs 630 more .what is the selling price of land?​

Answer 1

$\sf\large\red{\underline{given : }}$

• Man sells a plot at 8% profit.
• If he had sold the plot at 15% profit, he would have recieve 630Rs more.

$\\ \sf\large\red{\underline{to \: find : }}$

• Selling prince of the Plot.

$\\ \sf\large\red{\underline{ solution : }}$

➜Let the cost of plot be 'x'.

He would have get 630Rs more if he had sold it at 15% profit , instead of 8% profit.

So, (15% - 8%) of x is 630Rs.

■ 7% of x is 630Rs.

$\sf\large\red{\underline{ }} \frac{7}{100} \times( x) = 630 \\ \\ \sf\large\red{\underline{ }}x = \frac{630 \times 100}{7} \\ \\ \sf\large\red{\underline{ }}x = \frac{63000}{7} \\ \\ \sf\large\red{\underline{ }} = > x = 9000 \: rupees$

∴ The cost of plot is 9000 Rs.

He sold it with 8% profit.

So,

Selling price = Original price + 8% of original price.

$\sf\red{\underline{ }}selling \: price = 9000 + (9000 \times \frac{8}{100} ) \\ \\ \sf\red{\underline{ }}selling \: price = 9000 + 720 \\ \\ \sf\large\green{\underline{selling \: price = 9720 \: rupees }}$

∴ Selling price of plot is 9720Rs.

Answer 2

Step-by-step explanation:

15% - 8% = 7%

CP = 7%

7% = 630

CP = 9000 * 8% =720

9000+ 720 = 9720