a) ₹33000

b) ₹31000

c) ₹30000

d) ₹30100

correct answer is: c) ₹30000

#### Explanation

A man gave \large\frac{1}{3} of his property to his wife.

Let, the man had ₹ ‘x’.

So, Wife got ₹\left(x\times\large\frac13\right) or \large\frac{x}{3} of property.

\therefore Property left after giving to wife =₹\left(x-\large\frac x3\right)

\rightarrow ₹\large\left(\frac{3x-x}3\right) _{[L.C.M : 3]}

\rightarrow ₹\large\frac{2x}3

From the rest property he gave \large\frac{3}{4} to his son.

\therefore Son got ₹\large\left(\frac{2x}{3}\times\frac{3}{4}\right) or \large\frac{x}{2} of property

\therefore Property left after giving son =₹\large\left(\frac{2x}3-\frac x2\right)

\rightarrow ₹\large\left(\frac{4x-3x}6\right) _{[L.C.M : 6]}

\rightarrow ₹\large\left(\frac x6\right)

According to the question:

\large\frac{x}{6}\normalsize=₹5000

\rightarrow x=₹\left(5000\times6\right)

\rightarrow x=₹30000

\therefore The man had ₹30000. **Ans:** The total money the man had ₹30000.

##### Additional variations of this particular math query are:

**If a man gave 1/3 of his property to his wife, ¾ of the remaining to his son, and the rest to his daughter, and his daughter received ₹5000, how much did he originally have?****Find out how much money a man originally had if he gave 1/3 to his wife, 3/4 of the remainder to his son, and the rest to his daughter, who received ₹5000.****Calculate the total property of a man who gave 1/3 to his wife, 3/4 of the remaining to his son, and the rest to his daughter, knowing the daughter received ₹5000.**