A father 2

A father gave 1/3 of his land to the daughter and the remainder to the son. Son donates 3/4 of his land for the playground. He built a house in half of the remaining area, and the other half was sold for rs.1 million.
1) give the sons portion as a fraction
2) what is the playground portion of land?
3) what is the house portion of land?
4) what is the whole land worth?

Correct answer:

s =  2/3
p =  1/2
h =  1/12
x =  12000000 Rs

Step-by-step explanation:

$$\begin{gathered} d=\frac{1}{3}\doteq 0.3333 \\ s=1-d=1-\frac{1}{3}=\frac{1\cdot 3}{3}-\frac{1}{3}=\frac{3}{3}-\frac{1}{3}=\frac{3-1}{3}=\frac{2}{3}=0.6667 \end{gathered}$$

$p=\frac{3}{4}\cdot s=\frac{3}{4}\cdot \frac{2}{3}=\frac{3\cdot 2}{4\cdot 3}=\frac{6}{12}=\frac{1}{2}=0.5$

$h=\frac{s-p}{2}=\frac{\frac{2}{3}-\frac{1}{2}}{2}=\frac{1}{12}=0.0833$

$$\begin{gathered} x\cdot h=1000000 \\ x\cdot 0.083333333333335=1000000 \\ 0.083333x=1000000 \\ x=\frac{1000000}{0.08333333}=11999999.994412 \\ x=11999999.994412=12000000\text{Rs} \end{gathered}$$

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