Latest Miscellaneous Company Exam Aptitude Question SOLUTION: Every month, a girl gets allowance. Assume last year she had no money, and kept it up to now. Then she spends 1/2 of her money on clothes, then 1/3 of the remaining money on games,

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(#M40003615) MISCELLANEOUS COMPAN question Keep an EYE

Every month, a girl gets allowance. Assume last year she had no money, and kept it up to now. Then she spends 1/2 of her money on clothes, then 1/3 of the remaining money on games, and then 1/4 of the remaining money on toys. After she bought all of that, she had $7777 left. Assuming she only gets money by allowance, how much money does she earn every month?

Asked In Miscellaneous Company Exam kiran kumar reddy (12 years ago)

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raj  (11 years ago)

Let us consider every month she get allowance of Rs.= y
So,
After 12 months total money she have= 12y(let we called x)
12y=x

Money spent on clothes=x/2
Now, money left=x-x/2= x/2

Money spent on games is 1/4 of remaining =(1/3)*(x/2)=x/6
Now, money left=(x/2)-(x/6)= x/3
Next,

Money spent on games is 1/3 of remaining =(1/4)*(x/3)=x/12
Now, money left=(x/3)-(x/12)= x/4

And as given she is left with money=7777
So, x/4=7777
therefore, x = 7777*4 = 31108

So, allowance per month = y = 31108/12 = 2592.333

Is this solution Helpfull? Yes (16) | No   

yasaswini  (11 years ago)

let the girl gets x$ per month,then
for 12 months she would get 12x$,she spent 12x/2 $ on clothes,now she will have 12x/2 $=6x$,1/3 of this is spent on games i.e (12x/2)*(1/3)=2x.then remaining money is 6x-2x=4x$.1/4 of this is spent on toys i.e 4x/4=x $.now she is left with 4x-x=3x$ which is given as 7777.so x=7777/3=2592.333$.so, she would get monthly allowance of 2592.33$

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Sruthy John  (10 years ago)

let x be the allowance then,
after purchasing clothes=12x-(12x/2)=6x
after games=6x-(6x/3)=4x
after having toys=4x-(4x/4)=3x
remaining money=3x=7777
then x=7777/3=2592.33$

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Dr.Dipin Singh  (12 years ago)

If x is the total allowance, then
x*(1-0.5)(1-1/3)*(1-1/4) = 7777
x= 7774*2*(3/2)*(4/3)= 7777*4 = 31108

Depending on no of months , per month allowance can be calculated.

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