Question

sohan sold his house at 10% profit. if the profit earned is rs 25000, find the selling price of the house.

Answer 1

Let SP of house be x

Profit % on house = 10%

$cp = \frac{sp \times 100}{100 + p}$

$cp = \frac{x \times 100}{100 + 10 }$

$cp = \frac{100x}{110}$

$cp = \frac{10x}{11}$

Profit = 25000

SP - CP = 25000

$x - \frac{10x}{11} = 25000$

$\frac{x \times 11}{1 \times 11} - \frac{10x}{11} = 25000$

$\frac{11x}{11} - \frac{10x}{11} = 25000$

$\frac{x}{11} = 25000$

$x = 25000 \times 11$

$x = 275000$

Therefore selling price of house is Rs.2,75,000.