Question

A man leaves half his property to his wife, one-third to his son and the remaining to his daughter. If the daughter's share is Rs 15000, how much money did the man leave? How much money did his wife get?

Answer 1

Let x be the total money left by the man.

Share of wife = `(1)/(2)x`

Share of son = `(1)/(3)x`

Share of daughter  = `x - (1)/(2)x - (1)/(3)x` = 0.166667x

But daughter's share = Rs.15000
⇒ 0.166667 x Rs.15000
⇒ x = Rs.90000

Share of wife = `(1)/(2)x = (1)/(2) xx "Rs".90000` = Rs.45000

Therefore, Man left Rs.90000 and wife's share is Rs.45000.