Question

A man gives half of his salary to his wife, half of remaining salary to his son and

half of what remains to his daughter, he is left with Rs.500. What is his salary?

(a) 5,000 (b) 10,000 (c) 4,000 (d) 2,000​

Answer 1

Step-by-step explanation:

5000 is the correct answer

Answer 2

Given:-

• Man gives half of salery to his wife.
• He gives half of remaining to his son
• He gives half of remaining to his daughter
• Money left to man is ₹500

To find:

• Salary of man?

Solution:

Let suppose that total salary of man is x.

Now, as per given that he gave half salary to his wife.

So, remaining salary of man = 50% of x = 50x/100 = x/2

Now, he given 50% of remaining to his son.

So, remaining money = 50% of x/2 = 50x/100×2 = x/4

Now, he gives 50% of remaining to his daughter.

So, remaining money = 50% of x/4 = 50x/100×4 = x/8

Now, we have found that man have total remaining money is x/8 but in question, it is given that man have ₹500 remaining. So can we compare x/8 to 500? Yes definitely we can compare.

Comparing :-

$\dfrac{x}{8}\:=\: 500$

$\implies{x\:=\: 500×8}$

$\implies{x\:=\:4000}$

So from here, we found that x is equal to 4000 and we have supposed that total income of man is x.

Therefore,

• Total salary of man = ₹4000 ( option C)