Question

Hari Babu left one - third of his property to his son , one - fourth to his daughter and remaining to his wife . If his wife ' share is ₹18000 , what was the worth of the total property.​

Answer 1

Answer:

1800 rs is mentioned as the worth

Answer 2

Let the total property of Hari Babu be x , then,

• Son's share in the property

$\:\:\:\:= \frac{1}{3} x$

• Daughter's share in property

$\:\:\:\:= \frac{1}{4} x$

Wife 's share in the property

= ₹ 18000 (given)

A/q

$\bold{ \frac{1}{3}x + \frac{1}{4} x + 18000 = x }$

$\bold{ \implies \: \frac{1}{3} x + \frac{1}{4}x - x = - 18000 }$

$\bold{ \implies \: \frac{4x + 3x - 12x}{12} = - 18000 }$

$\bold{ \implies \: \frac{7x - 12x}{12} = - 18000 }$

$\bold{ \implies \: \frac{ - 5x}{12} = - 18000 }$

$\bold{ \implies \: x = - 18000 \times \frac{12}{ - 5} }$

$\bold{ \implies \: x = 43200}$

So , the total property of Hari Babu

= ₹ 43,200