Question

Hari babu left one-third of his property to his son, one-fourth to his daughter the remainder to his wife. If his wife's share is â‚ą 18000, what was the worth of total property.

Answer 1

Heya !!

$\text{Let the total property be Rs. x}\\\\\text{Son's share = \dfrac{1}{3} x }\\\\\text{Daughter's share = \dfrac{1}{4} x }\\\\\text{Wife's share = Remaining Property = x - \dfrac{1}{3} x - \dfrac{1}{4} x }\\\\= \dfrac{12x - 4x - 3x}{12}\\\\= \dfrac{5}{12} x\\\\\text{But, Wife's share = Rs.18,000}\\\\\therefore, \dfrac{5}{12} x = 18000\\\\\implies x = 18000 \times \dfrac{12}{5} = \lage \underline{\boxed{\boxed{Rs. \: 43,200}}} - \text{Total property that the man left.}$

Hope it helps !!