a) ₹5200

b) ₹5000

c) ₹4000

d) ₹3800

correct answer is: c) ₹4000

#### Explanation

Son got 0.15 of savings.

And, daughter got 0.25 of savings.

So that, son and daughter total got =\left(0.15+0.25\right) of savings.

\rightarrow 0.40 or \large\frac{40}{100} or \large\frac{2}{5} of saving.

Let, the man saved ₹'x'.

So that,

Son and daughter total got ₹\left(x\times\large\frac25\right)

\rightarrow ₹\large\frac{2x}5

\therefore Rest saving =₹\left(x-\large\frac{2x}5\right)

\rightarrow ₹\large\left(\frac{5x-2x}5\right)

\rightarrow ₹\large\frac{3x}5

Now,

Wife got 0.6 or \large\frac{6}{10} or \large\frac{3}{5} of the rest savings.

\therefore Wife got ₹\large\left(\frac{3x}5\times\frac35\right)

\rightarrow ₹\large\frac{9x}{25}

So that, remaining savings =₹\large\left(\frac{3x}5-\frac{9x}{25}\right)

\rightarrow ₹\large\left(\frac{15x-9x}{25}\right)

\rightarrow ₹\large\frac{6x}{25}

According to the question,

\large\frac{6x}{25}\normalsize=₹960

\rightarrow x=₹\left(960\times\large\frac{25}6\right)

\rightarrow x=₹4000

\therefore The man saved ₹4000. **Ans:** The man total saved ₹4000.

##### Another method to articulate this particular math query is available:

**Imagine a man saved some money. He gave 15% to his son, 25% to his daughter, and 60% of what remained to his wife. If he still had ₹960 left, can you find out how much money he initially saved?****Suppose a man had some savings. He shared 0.15 with his son, 0.25 with his daughter, and then 0.6 of what was left with his wife. If he ended up with ₹960, can you calculate how much he saved originally?****Imagine a man who decided to share his savings with his family. He distributed 0.15 to his son, 0.25 to his daughter, and then 0.6 of the remaining amount to his wife. If he had ₹960 left afterward, can you calculate how much he originally saved?**