Question

A sells a house to B at a profit of 12%. B sells it to C at a loss of 10% and C sells it to D for RS 21,44,520 making a profit of 15%. The cost of the house for A (in rupees) is?

Answer 1

Answer: 18,50,000

Step-by-step explanation:

Let x be the cost price of house for A .

Then, The cost of house for B = x+12% of x

=$x+0.12x=1.12x$

The cost of house for C = 1.12x-10% of 1.12x

=$1.12x-0.112x=1.008x$

The cost of house for D = 1.008x+15% of 1.008x

$1.008x+0.1512x=1.1592x$

Since, The cost of house for D = Rs 21,44,520

Therefore,

$1.1592x=21,44,520\\\Rightarrow\ x=\frac{21,44,520}{1.1592}=1850000$

Hence, the cost of the house for A  is Rs 18,50,000