Question 1199747
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x = the amount of money, in dollars, Raj starts with


25% = 0.25
25% of x = 0.25x
Raj spent 0.25x dollars on clothes.
He has 0.75x dollars left, ie 75% of his money remains.


1/3 of the remainder = (1/3)*(0.75x)
1/3 of the remainder = (1/3)*((3/4)x)
1/3 of the remainder = (1/4)x
1/3 of the remainder = 0.25x
Raj spent 0.25x dollars on food.


Total amount spent = 0.25x+0.25x = 0.50x
He spent 50%, aka half, of his money on clothes and food combined.


Now subtract off $441 that he gives to his parents.
Raj now has 0.50x-441 dollars.


Set this equal to 0.41x to reflect the idea he has 41% of his original money.
Solve for x.


0.50x-441 = 0.41x
0.50x = 0.41x+441
0.50x-0.41x=441
0.09x=441
x=441/0.09
x=<font color=red size=4>4900</font>



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Check:


25% of $4900 = 0.25*4900 = 1225
Raj spent $1225 on clothes.


Remainder after buying clothes = 4900 - 1225 = 3675


1/3 of remainder = (1/3)*(3675) = 1225
Raj spent $1225 on food.


total spent = clothes+food = 1225+1225 = 2450 dollars.


Now he hands over $441
2450-441 = 2009
Raj is left with $2009


Divide this over the original amount (4900)
2009/4900 = 0.41
this shows Raj has 41% of his original money at this point. 
The answer is confirmed.


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Answer: <font color=red size=4>$4900</font>
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