General Aptitude › Percentage › Question #4534
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QMr. Jones initially had an unknown amount of money. He gave 40% of this amount to his wife, and then gave 20% of the remaining amount to his three sons. After this, he spent half of the remaining amount on miscellaneous items and deposited the remaining Rs. 12,000 in the bank. How much money did Mr. Jones have initially?

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  • A 121000 ✔ ✖
  • B 100000 ✔ ✖
  • C 157200 ✔ ✖
  • D 129689 ✔ ✖
Correct Answer

Explanation


The solution would be calculated as follows:

Let the initial amount with Mr. Jones be Rs. x.

Then the money given to the wife is

 Rs. (40/100)x = Rs. (2x/5).
The balance after this transaction is 

Rs. (x – (2x/5)) = Rs. (3x/5).

The money given to the three sons is 

Rs. (3 * ((20/100) * (3x/5))) = Rs. (9x/5).
The balance after this transaction is 
Rs. ((3x/5) – (9x/25)) = Rs. (6x/25).

The amount deposited in the bank is 
Rs. (1/2 * (6x/25)) = Rs. (3x/25).

Therefore, 3x/25 = 12,000.

Solving for x, 

we get x = ((12,000 * 25) / 3) = 100,000.

So Mr. Jones initially had Rs. 100,000 with him.
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