Question

A man distributed his wealth among his son and daughter and wife.he gave 1/3 to his son ,2/5to his daughter and remainder to his wife.if wife share was rs 32000 how much money did the man have?

Answer 1

Answer:

120000

Step-by-step explanation:

let total wealth of man=x

so, x=x/3+2x/5+32000

x-11x/15=32000

4x= 32000×15

x = 120000

Answer 2

The total wealth of the man is Rs. 1,20,000

Step-by-step explanation:

Let the total wealth of man = x

Share given to his son = $\dfrac{1}{3} x$

Share given to his daughter =$\dfrac{2}{5} x$

According to ques

Share given to his wife is remaining of the wealth

Therefore share given to his wife is

$x- (\dfrac{1}{3} x+\dfrac{2}{5}x)\\\\= x- \dfrac{5x+6x}{15} \\\\ = x- \dfrac{11x}{15}= \dfrac{15x-11x}{15} = \dfrac{4x}{15}$

Now wealth given to his wife is Rs. 32000

Therefore

$\dfrac{4x}{15} = 32000\\\\\Rightarrow x= 120000$

Hence ,the total wealth of the man is Rs. 1,20,000

# Learn more

A man leaves 1/2 of his property to his wife, 1/3 to his son and the remaining to his daughter. if the daughter's share is rs.5,000, how much money did the man leave? how much money did his wife get? what is his son's share?

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