Mr jones gave 40% of the money he had to his wife. he also gave 20%

Question

Mr jones gave 40% of the money he had to his wife. he also gave 20% of the remaining amt to each of his three sons. half of the amt now left was spent on miscellaneous items and remaining amt of Rs 12000 was deposited in the bank how much money did mr jones have initially

 

 

in math language "of" means multiplication, here in some situation we do according to problem like below two examples but third one doest follow question i want to know that when we should go as per the question and when we shouldt go

 

 

i assumed that he had x money

• 40% of the money 

        40/100*x which is 2x/5 ------ wife

• 20% of the remaining amt

        20%100*3x/5
        (3x/5)3------------sons amt get 9x/5
 
remaining amt of Rs 12000
i know remaining amt is 3x/25
as per question stated it should be like this 3x/25*12000 it is wrong
but right is 3x/25=12000
please explain me definite solution

Answer 1

Hi Amey, here is one way to solve the problem. Let x represent the amount of money Mr. Jones started with.

 

He gave 40% to his wife. 40% as a decimal is .40. The wife gets .40x of Mr. Jones money.

 

Mr Jones has .60x money remaining.

 

Of the .60x money remaining, he gives each of his three sons 20%. 20% as a decimal is .20.

Number of sons: 3

Each gets 20% of .60x

 

This amounts to 3 * .20 * .60x or .36x of Mr. Jones .60x

 

Mr. Jones now has .24x remaining of his original money.

 

He spends one half of the remaining money. One half of .24x is .12x.

 

Mr. Jones now has .12x of his original money left, which he puts in the bank. He put .12x or 12000 in the bank. 

 

You can find out the value for "x" by dividing 12000 by .12 or x = 100000.

 

To check:

40% went to the wife. That would equal 40000.

 

Mr. Jones has 60000 remaining.

 

He gives each of his 3 sons 20% or the remaining 60000. This is 3 * .20 * 60000 or 36000.

 

Mr. Jones is left with 60000 - 36000 or 24000.

 

He spends one half or 12000, which leaves him with 12000 to put in the bank.

 

Questions?